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dsp73
3 years ago
11

36. GEOMETRY Write an algebraic expression to

Mathematics
1 answer:
Stels [109]3 years ago
6 0

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

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