Question

The triangle shown has an area of 52 square inches. Find the measure of the height

(segment LM).

Answer 1

The measure of the height of the triangle = 8 inch

Solution:

Area of the triangle = 52 square inches

Base of the triangle = 13 inches

Height of the triangle = ?

Area of the triangle =
`(1)/(2) bh`

`$\Rightarrow (1)/(2)* b * h=52`

`$\Rightarrow (1)/(2)* 13 * h=52`

`$\Rightarrow 6.5 * h=52`

Divide by 6.5 on both sides of the equation.

`$\Rightarrow (6.5 * h)/(6.5) =(52)/(6.5)`

⇒ h = 8

The measure of the height of the triangle = 8 inch