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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।

MathematicsA ladder is 25 units long. The distance of its foot from the wall is 17 units less than the height reached on the wall. What is the height reached by the ladder on the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41MediumMathematicsThe hypotenuse of a right-angled triangle is \(85\) cm. One leg is \(13\) cm longer than the other leg. What is the length of the smaller leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40HardMathematicsThe hypotenuse of a right triangle is 34 units long, and one leg is 14 units longer than the other. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40MediumMathematicsThe diagonal of a rectangle is 13 units long, and its length is 7 units more than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40MediumMathematicsA ladder is 13 metres long. The distance of its foot from the wall is 7 metres less than the height it reaches on the wall. What is the height reached on the wall?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40MediumMathematicsThe lengths of the two legs of a right triangle are x m and (x+9) m, while its hypotenuse is 45 m. What is the length of the shorter leg?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42EasyMathematicsThe legs of a right triangle are x cm and (x + 12) cm, and the hypotenuse is 60 cm. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42EasyMathematicsThe two perpendicular sides of a right-angled triangle are \(x\) m and \(x+4\) m, and its hypotenuse is 20 m. What is the value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 41EasyMathematicsThe legs of a right-angled triangle are \(x\) cm and \(x+2\) cm, and its hypotenuse is 10 cm. What is the positive value of \(x\)?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40EasyMathematicsThe perpendicular sides of a right triangle are \(x\) cm and \((x+1)\) cm, and its hypotenuse is 5 cm. What is the length of the shorter perpendicular side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 40Easy