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

108 in²

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 =
`(1)/(2)*(h + 6)*h = (1)/(2)(h^2 + 6h) = (h^2 + 6h)/(2)`

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

`(h^2 + 6h)/(2) = (12^2 + 6(12))/(2)`

`= (144 + 72)/(2)`

`= (216)/(2) = 108 in^2`