Question

One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is

Answer 1

Given:

One of the legs of a right triangle is 9 cm.

The area of the triangle is 225 cm².

To find:

The length of the other leg.

Solution:

The area of a triangle is

$Area=\dfrac{1}{2}\times Base\times Height$

The area of a right triangle is

$Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)$

Let x be the length of other leg.

$225=\dfrac{1}{2}\times (9)\times (x)$

$2\times 225=9x$

$\dfrac{450}{9}=x$

$50=x$

Therefore, the length of the other leg is 50 cm.