14 results found for "leg shaking" in Class 10.
एक समकोण त्रिभुज में छोटी भुजा (x) सेमी और दूसरी लम्ब भुजा (x+7) सेमी है। कर्ण (13) सेमी है। (x) क्या है?
In a right triangle, the smaller leg is (x) cm and the other leg is (x+7) cm. The hypotenuse is (13) cm. What is (x)?
#quadratic equations
#pythagoras
#application
A (3)
B (4)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
By Pythagoras, (x-2 +(x+7)2 =132 ), giving (x=5). In a right triangle, always take the hypotenuse as the largest side.
Step 2
Why this answer is correct
The correct answer is C. (5). By Pythagoras, (x-2 +(x+7)2 =132 ), giving (x=5). In a right triangle, always take the hypotenuse as the largest side.
Step 3
Exam Tip
पाइथागोरस से (x-2 +(x+7)2 =132 ), जिससे (x=5) है। समकोण त्रिभुज में हमेशा कर्ण को सबसे बड़ी भुजा लें।
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एक समकोण त्रिभुज में कर्ण (185) सेमी है और एक लम्ब भुजा दूसरी से (37) सेमी अधिक है। छोटी लम्ब भुजा क्या है?
In a right triangle, the hypotenuse is (185) cm and one leg is (37) cm more than the other. What is the smaller leg?
#quadratic equations
#right triangle
#pythagoras
A (96) सेमी / (96) cm
B (111) सेमी / (111) cm
C (120) सेमी / (120) cm
D (148) सेमी / (148) cm
Explanation opens after your attempt
Correct Answer
B. (111) सेमी / (111) cm
Step 1
Concept
If the smaller leg is (x), then (x-2 +(x+37)2 =1852 ). This gives (x=111).
Step 2
Why this answer is correct
The correct answer is B. (111) सेमी / (111) cm. If the smaller leg is (x), then (x-2 +(x+37)2 =1852 ). This gives (x=111).
Step 3
Exam Tip
छोटी भुजा (x) हो तो (x-2 +(x+37)2 =1852 )। इससे (x=111) मिलता है।
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एक समकोण त्रिभुज में कर्ण (145) सेमी है और एक लम्ब भुजा दूसरी से (17) सेमी अधिक है। छोटी लम्ब भुजा क्या है?
In a right triangle, the hypotenuse is (145) cm and one leg is (17) cm more than the other. What is the smaller leg?
#quadratic equations
#right triangle
#pythagoras
A (84) सेमी / (84) cm
B (88) सेमी / (88) cm
C (95) सेमी / (95) cm
D (112) सेमी / (112) cm
Explanation opens after your attempt
Correct Answer
A. (84) सेमी / (84) cm
Step 1
Concept
If the smaller leg is (x), then (x-2 +(x+17)2 =1452 ). This gives (x=84).
Step 2
Why this answer is correct
The correct answer is A. (84) सेमी / (84) cm. If the smaller leg is (x), then (x-2 +(x+17)2 =1452 ). This gives (x=84).
Step 3
Exam Tip
छोटी भुजा (x) हो तो (x-2 +(x+17)2 =1452 )। इससे (x=84) मिलता है।
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एक समकोण त्रिभुज में कर्ण (109) सेमी है और एक लम्ब भुजा दूसरी से (19) सेमी अधिक है। छोटी लम्ब भुजा क्या है?
In a right triangle, the hypotenuse is (109) cm and one leg is (19) cm more than the other. What is the smaller leg?
#quadratic equations
#right triangle
#pythagoras
A (60) सेमी / (60) cm
B (65) सेमी / (65) cm
C (72) सेमी / (72) cm
D (84) सेमी / (84) cm
Explanation opens after your attempt
Correct Answer
A. (60) सेमी / (60) cm
Step 1
Concept
If the smaller leg is (x), then (x-2 +(x+19)2 =1092 ). This gives (x=60).
Step 2
Why this answer is correct
The correct answer is A. (60) सेमी / (60) cm. If the smaller leg is (x), then (x-2 +(x+19)2 =1092 ). This gives (x=60).
Step 3
Exam Tip
छोटी भुजा (x) हो तो (x-2 +(x+19)2 =1092 )। इससे (x=60) मिलता है।
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एक समकोण त्रिभुज में कर्ण (41) है और एक भुजा दूसरी से (31) अधिक है। छोटी भुजा क्या है?
In a right triangle, the hypotenuse is (41) and one leg is (31) more than the other. What is the smaller leg?
#quadratic-equations
#word-problems
#right-triangle
A (9)
B (40)
C (31)
D (10)
Explanation opens after your attempt
Step 1
Concept
If the smaller leg is (x), the other is (x+31). From (x-2 +(x+31)2 =412 ), (x=9).
Step 2
Why this answer is correct
The correct answer is A. (9). If the smaller leg is (x), the other is (x+31). From (x-2 +(x+31)2 =412 ), (x=9).
Step 3
Exam Tip
यदि छोटी भुजा (x) है, तो दूसरी (x+31) होगी। (x-2 +(x+31)2 =412 ) से (x=9) मिलता है।
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एक समकोण त्रिभुज में कर्ण (85) सेमी है और एक लम्ब भुजा दूसरी से (13) सेमी अधिक है। छोटी लम्ब भुजा क्या है?
In a right triangle, the hypotenuse is (85) cm and one leg is (13) cm more than the other. What is the smaller leg?
#quadratic equations
#right triangle
#pythagoras
A (48) सेमी / (48) cm
B (51) सेमी / (51) cm
C (60) सेमी / (60) cm
D (72) सेमी / (72) cm
Explanation opens after your attempt
Correct Answer
B. (51) सेमी / (51) cm
Step 1
Concept
If the smaller leg is (x), then (x-2 +(x+13)2 =852 ). This gives (x=51).
Step 2
Why this answer is correct
The correct answer is B. (51) सेमी / (51) cm. If the smaller leg is (x), then (x-2 +(x+13)2 =852 ). This gives (x=51).
Step 3
Exam Tip
छोटी भुजा (x) हो तो (x-2 +(x+13)2 =852 )। इससे (x=51) मिलता है।
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एक समकोण त्रिभुज में कर्ण (17) है और एक भुजा दूसरी से (7) अधिक है। छोटी भुजा क्या है?
In a right triangle, the hypotenuse is (17) and one leg is (7) more than the other. What is the smaller leg?
#quadratic-equations
#word-problems
#right-triangle
A (8)
B (15)
C (10)
D (7)
Explanation opens after your attempt
Step 1
Concept
If the smaller leg is (x), the other is (x+7). From (x-2 +(x+7)2 =172 ), (x=8).
Step 2
Why this answer is correct
The correct answer is A. (8). If the smaller leg is (x), the other is (x+7). From (x-2 +(x+7)2 =172 ), (x=8).
Step 3
Exam Tip
यदि छोटी भुजा (x) है, तो दूसरी (x+7) होगी। (x-2 +(x+7)2 =172 ) से (x=8) मिलता है।
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एक समकोण त्रिभुज में लम्ब भुजाएँ (x) सेमी और (x+1) सेमी हैं तथा कर्ण (5) सेमी है। छोटी भुजा क्या है?
A right triangle has legs (x) cm and (x+1) cm and hypotenuse (5) cm. What is the smaller leg?
#quadratic equations
#pythagoras
#right triangle
A (2) सेमी / (2) cm
B (3) सेमी / (3) cm
C (4) सेमी / (4) cm
D (5) सेमी / (5) cm
Explanation opens after your attempt
Correct Answer
B. (3) सेमी / (3) cm
Step 1
Concept
(x-2 +(x+1)2 =52 ) gives (x=3). After solving, check the (3,4,5) triplet.
Step 2
Why this answer is correct
The correct answer is B. (3) सेमी / (3) cm. (x-2 +(x+1)2 =52 ) gives (x=3). After solving, check the (3,4,5) triplet.
Step 3
Exam Tip
(x-2 +(x+1)2 =52 ) से (x=3) मिलता है। हल के बाद (3,4,5) त्रिक की जाँच करें।
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एक समकोण त्रिभुज की लम्ब भुजाएँ (x) सेमी और (x+30) सेमी हैं तथा कर्ण (150) सेमी है। छोटी लम्ब भुजा क्या है?
The legs of a right triangle are (x) cm and (x+30) cm and the hypotenuse is (150) cm. What is the smaller leg?
#quadratic equations
#pythagoras
#right triangle
A (75) सेमी / (75) cm
B (80) सेमी / (80) cm
C (90) सेमी / (90) cm
D (120) सेमी / (120) cm
Explanation opens after your attempt
Correct Answer
C. (90) सेमी / (90) cm
Step 1
Concept
By Pythagoras, (x-2 +(x+30)2 =1502 ), giving (x=90). Form the equation by taking the hypotenuse as the largest side.
Step 2
Why this answer is correct
The correct answer is C. (90) सेमी / (90) cm. By Pythagoras, (x-2 +(x+30)2 =1502 ), giving (x=90). Form the equation by taking the hypotenuse as the largest side.
Step 3
Exam Tip
पाइथागोरस से (x-2 +(x+30)2 =1502 ), जिससे (x=90) है। कर्ण को सबसे बड़ी भुजा मानकर समीकरण बनाएं।
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एक समकोण त्रिभुज की लम्ब भुजाएँ (x) सेमी और (x+24) सेमी हैं तथा कर्ण (120) सेमी है। छोटी लम्ब भुजा क्या है?
The legs of a right triangle are (x) cm and (x+24) cm and the hypotenuse is (120) cm. What is the smaller leg?
#quadratic equations
#pythagoras
#right triangle
A (66) सेमी / (66) cm
B (72) सेमी / (72) cm
C (80) सेमी / (80) cm
D (96) सेमी / (96) cm
Explanation opens after your attempt
Correct Answer
B. (72) सेमी / (72) cm
Step 1
Concept
By Pythagoras, (x-2 +(x+24)2 =1202 ), giving (x=72). Form the equation by taking the hypotenuse as the largest side.
Step 2
Why this answer is correct
The correct answer is B. (72) सेमी / (72) cm. By Pythagoras, (x-2 +(x+24)2 =1202 ), giving (x=72). Form the equation by taking the hypotenuse as the largest side.
Step 3
Exam Tip
पाइथागोरस से (x-2 +(x+24)2 =1202 ), जिससे (x=72) है। कर्ण को सबसे बड़ी भुजा मानकर समीकरण बनाएं।
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एक समकोण त्रिभुज की लम्ब भुजाएँ (x) सेमी और (x+18) सेमी हैं तथा कर्ण (90) सेमी है। छोटी लम्ब भुजा क्या है?
The legs of a right triangle are (x) cm and (x+18) cm and the hypotenuse is (90) cm. What is the smaller leg?
#quadratic equations
#pythagoras
#right triangle
A (48) सेमी / (48) cm
B (54) सेमी / (54) cm
C (60) सेमी / (60) cm
D (72) सेमी / (72) cm
Explanation opens after your attempt
Correct Answer
B. (54) सेमी / (54) cm
Step 1
Concept
By Pythagoras, (x-2 +(x+18)2 =902 ), giving (x=54). Form the equation by taking the hypotenuse as the largest side.
Step 2
Why this answer is correct
The correct answer is B. (54) सेमी / (54) cm. By Pythagoras, (x-2 +(x+18)2 =902 ), giving (x=54). Form the equation by taking the hypotenuse as the largest side.
Step 3
Exam Tip
पाइथागोरस से (x-2 +(x+18)2 =902 ), जिससे (x=54) है। कर्ण को सबसे बड़ी भुजा मानकर समीकरण बनाएं।
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एक समकोण त्रिभुज की लम्ब भुजाएँ (x) सेमी और (x+14) सेमी हैं तथा कर्ण (70) सेमी है। छोटी लम्ब भुजा क्या है?
The legs of a right triangle are (x) cm and (x+14) cm and the hypotenuse is (70) cm. What is the smaller leg?
#quadratic equations
#pythagoras
#right triangle
A (42) सेमी / (42) cm
B (44) सेमी / (44) cm
C (46) सेमी / (46) cm
D (48) सेमी / (48) cm
Explanation opens after your attempt
Correct Answer
A. (42) सेमी / (42) cm
Step 1
Concept
By Pythagoras, (x-2 +(x+14)2 =702 ), giving (x=42). Form the equation by taking the hypotenuse as the largest side.
Step 2
Why this answer is correct
The correct answer is A. (42) सेमी / (42) cm. By Pythagoras, (x-2 +(x+14)2 =702 ), giving (x=42). Form the equation by taking the hypotenuse as the largest side.
Step 3
Exam Tip
पाइथागोरस से (x-2 +(x+14)2 =702 ), जिससे (x=42) है। कर्ण को सबसे बड़ी भुजा मानकर समीकरण बनाएं।
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एक समकोण त्रिभुज में लम्ब भुजाएँ (x) मीटर और (x+9) मीटर हैं तथा कर्ण (45) मीटर है। छोटी लम्ब भुजा क्या है?
In a right triangle, the legs are (x) m and (x+9) m, and the hypotenuse is (45) m. What is the smaller leg?
#quadratic equations
#pythagoras
#application
A (24) मीटर / (24) m
B (27) मीटर / (27) m
C (30) मीटर / (30) m
D (36) मीटर / (36) m
Explanation opens after your attempt
Correct Answer
B. (27) मीटर / (27) m
Step 1
Concept
(x-2 +(x+9)2 =452 ) gives (x=27). A negative root is not taken for length.
Step 2
Why this answer is correct
The correct answer is B. (27) मीटर / (27) m. (x-2 +(x+9)2 =452 ) gives (x=27). A negative root is not taken for length.
Step 3
Exam Tip
(x-2 +(x+9)2 =452 ) से (x=27) मिलता है। लंबाई के लिए ऋणात्मक हल नहीं लिया जाता।
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एक समकोण त्रिभुज की लम्ब भुजाएँ (x) सेमी और (x+5) सेमी हैं तथा कर्ण (25) सेमी है। छोटी लम्ब भुजा क्या है?
The legs of a right triangle are (x) cm and (x+5) cm, and the hypotenuse is (25) cm. What is the smaller leg?
#quadratic equations
#pythagoras
#right triangle
A (12) सेमी / (12) cm
B (15) सेमी / (15) cm
C (18) सेमी / (18) cm
D (20) सेमी / (20) cm
Explanation opens after your attempt
Correct Answer
B. (15) सेमी / (15) cm
Step 1
Concept
By Pythagoras, (x-2 +(x+5)2 =252 ), giving (x=15). Always take the hypotenuse as the largest side.
Step 2
Why this answer is correct
The correct answer is B. (15) सेमी / (15) cm. By Pythagoras, (x-2 +(x+5)2 =252 ), giving (x=15). Always take the hypotenuse as the largest side.
Step 3
Exam Tip
पाइथागोरस से (x-2 +(x+5)2 =252 ), जिससे (x=15) है। कर्ण को हमेशा सबसे बड़ी भुजा मानें।
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