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Pythagorean Theorem

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf the two perpendicular sides of a right triangle are 9 cm and 12 cm, then what is the hypotenuse?Class 10TrianglesPythagorean TheoremLevel 1EasyMathematicsA right triangle has two perpendicular sides of lengths 3 units and 4 units. Which value equal to the length of its hypotenuse can be constructed on the number line?Class 10PolynomialsRepresenting real numbers on the number lineLevel 51MediumMathematicsTo construct \(\sqrt{13}\) on the number line, if the perpendicular sides of a right triangle are 3 units and 2 units long, what is the length of its hypotenuse?Class 10PolynomialsRepresenting real numbers on the number lineLevel 49MediumMathematicsTo construct √2 on the number line, two perpendicular sides of a right triangle are each 1. What is the length of the hypotenuse?Class 10PolynomialsRepresenting real numbers on the number lineLevel 49MediumMathematicsLet the length of a rectangle be \(x\) metres. If its diagonal is 37 metres and its breadth is 12 metres, which quadratic equation can be formed to find \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe diagonal of a rectangle is 25 cm, and its length is 17 cm more than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsA ladder is 25 m long. When its foot is moved 7 m farther from the wall, its top comes 7 m down. What was the initial height on the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsIn a right triangle, the perpendicular is 7 cm longer than the base and the hypotenuse is 25 cm. What is the approximate length of the base?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42ExpertMathematicsThe two perpendicular sides of a right triangle are \(x\) cm and \((x+7)\) cm, and its hypotenuse is \((x+8)\) cm. What is the length of the smallest side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe hypotenuse of a right triangle is \(17\text{ cm}\), and one leg is \(7\text{ cm}\) longer than the other. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsThe diagonal of a rectangle is 25 cm, and its length is 5 cm greater than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA ladder is placed against a wall. Its foot is \(x\) metres from the wall, and it reaches a height of \((x+7)\) metres on the wall. If the ladder is 13 metres long, what is the distance of its foot from the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsOne side of a right-angled triangle is 10 cm, and its hypotenuse is 5 cm longer than the other side. What is the length of the other side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42MediumMathematicsA right triangle has a shorter side of length \(x\) cm, another side of length \((x+7)\) cm, and a hypotenuse of length \((x+8)\) cm. Find the length of the shorter side.Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsA ladder is \(10\text{ m}\) long, and its foot is \(6\text{ m}\) from a wall. If the foot is moved \(2\text{ m}\) farther away from the wall, how high will the ladder reach on the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe hypotenuse of a right triangle is \(25\text{ cm}\), and one leg is \(5\text{ cm}\) longer than the other. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41ExpertMathematicsThe hypotenuse of a right triangle is 185 cm, and one leg is 37 cm longer than the other leg. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40ExpertMathematicsThe hypotenuse of a right triangle is 145 cm. One leg is 17 cm longer than the other leg. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42HardMathematicsThe hypotenuse of a right triangle is 109 cm. One leg is 19 cm longer than the other leg. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41HardMathematicsThe diagonal of a rectangle is 25 units, and its length is 17 units more than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41Medium