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The legs of a right triangle are (x) cm and (x+30) cm and the hypotenuse is (150) cm. What is the smaller leg?

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Answer and explanation

Correct answer: (90) cm

By Pythagoras, (x^2+(x+30)^2=150^2), giving (x=90). Form the equation by taking the hypotenuse as the largest side.

Related tags

Quadratic EquationsPythagorasRight Triangle

Frequently asked questions

What is the correct answer to this question?

(90) cm

Why is this the correct answer?

By Pythagoras, (x^2+(x+30)^2=150^2), giving (x=90). Form the equation by taking the hypotenuse as the largest side.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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