Question

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.This is a triangle. side a has a length of 9 inches. side b has a length of 9 inches. side c has a length of 6 inches. The altitude to side c has a length of X inches.A. 11.3 in.B. 8 in.C. 6.2 in.D. 8.5 in.

Answer 1

Answer:

x = 8.5 in

The correct option is D

Step-by-step explanation:

The triangle has two equal sides, hence, the unknow x divides the base, 6 in.

To find the value of x, we can take one part of the triangle as follows:

We find x as follows:

`\begin{gathered} 9^2=x^2+3^2 \\ \\ x^2=9^2-3^2 \\ \\ x=√(9^2-3^2) \\ \\ =√(72)=8.5 \end{gathered}`