Question

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if the area of a triangle is 10 square inches and the base is 5 inches, what is the height? 4 inches 2 inches 20 inches 25 inches

Explanation:

Step1: Recall area formula

The area formula of a triangle is $A=\frac{1}{2}bh$, where $A$ is area, $b$ is base and $h$ is height.

Step2: Rearrange formula for height

We can rewrite the formula for $h$ as $h = \frac{2A}{b}$.

Step3: Substitute values

Given $A = 10$ square - inches and $b = 5$ inches. Substitute into the formula: $h=\frac{2\times10}{5}$.

Step4: Calculate height

$h=\frac{20}{5}=4$ inches.

Answer:

4 inches