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A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?

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Detailed Solution

The base of a triangle can be any of its three sides.

The term "base" refers to both the side and the length of the object (the measurement).

The length of a perpendicular segment from the base to the opposite vertex is the corresponding height.

Using the formula $A = \frac{h_{b} b}{2}$

Solving for $h_{b}$

$h_{b} = 2 \frac{A}{b} = 2 \times \frac{160}{40} = 8 i n$

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