Question

36. GEOMETRY Write an algebraic expression to
represent the area of the triangle. Then evaluate it to
find the area when h = 12 inches.

Answer 1

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = $\frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2}$

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

$\frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2}$

$= \frac{144 + 72}{2}$

$= \frac{216}{2} = 108 in^2$