Question

Find the area.

This is a triangle DEN. Side NE has a length of 26.5 inches. Side DE has a length of 45 inches. The altitude from point D measures 40 inches.

A. 390 in²
B. 779 in²
C. 530 in²
D. 1060 in²

Answer 1

C. 530 in²

Explanation:

To find the area of triangle DEN, use the formula for the area of a triangle:

`\sf Area\;of\;a\;triangle = (1)/(2) * base * height`

In this case, the base of the triangle is side NE, which has a length of 26.5 inches. The height is the altitude from point D, which measures 40 inches.

Substituting the values in the formula, we get:

`\begin{aligned}\sf Area &= \sf (1)/(2) * 26.5 * 40\\\\&= \sf 13.25* 40\\\\& = \sf 530 \;in^2\end{aligned}`

Therefore, the area of triangle DEN is 530 in².