Question

Explain how to use the Pythagorean theorem to find the leg of a right triangle if the hypotenuse was 12 and one of the sides were 9.

Answer 1

So the leg of right triangle is 7.94

Further explanation:

The Pythagorean theorem states that the square of hypotenuse is equal to the sum of base squared and perpendicular squared.

$H^2=B^2+P^2$

As we are given hypotenuse and one side.

We have to find the base here

So,

$H=12\\P=9\\H^2=P^2+B^2\\(12)^2=(9)^2+B^2\\144=81+B^2\\144-81=B^2\\63=B^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{63}\\B=7.937\\B=7.94$

So the leg of right triangle is 7.94

Keywords: Pythagoras Theorem, Right Angled Triangle

Learn more about Pythagoras theorem at:

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