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 = $\frac{1}{2} bh$

$\Rightarrow \frac{1}{2}\times b \times h=52$

$\Rightarrow \frac{1}{2}\times 13 \times h=52$

$\Rightarrow 6.5 \times h=52$

Divide by 6.5 on both sides of the equation.

$\Rightarrow \frac{6.5 \times h}{6.5} =\frac{52}{6.5}$

⇒ h = 8

The measure of the height of the triangle = 8 inch