Question

4 multiple choice 1 point 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: Write the formula for the area of a triangle

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

Step2: Substitute the given values into the formula

We know that \(A = 10\) square inches and \(b=5\) inches. Substituting these values into the formula \(10=\frac{1}{2}\times5\times h\).

Step3: Solve for \(h\)

First, simplify the right - hand side of the equation: \(\frac{1}{2}\times5\times h=\frac{5h}{2}\). So, our equation becomes \(10=\frac{5h}{2}\).
Multiply both sides of the equation by \(2\) to get \(20 = 5h\).
Then divide both sides by \(5\): \(h=\frac{20}{5}=4\) inches.

Answer:

A. 4 inches