Question

a triangle has an area of 112 square feet and a base of 14 feet. what is the height?
feet
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Explanation:

Step1: Recall triangle area formula

The formula for the area \( A \) of a triangle is \( A = \frac{1}{2} \times b \times h \), where \( b \) is the base and \( h \) is the height.

Step2: Substitute known values

We know \( A = 112 \) square feet and \( b = 14 \) feet. Substitute these into the formula: \( 112 = \frac{1}{2} \times 14 \times h \).

Step3: Simplify and solve for \( h \)

First, simplify \( \frac{1}{2} \times 14 = 7 \), so the equation becomes \( 112 = 7h \). Then, divide both sides by 7: \( h = \frac{112}{7} = 16 \).

Answer:

16