Question

the area of a triangle is 24 sq. inches. if the base of the triangle is 6 inches, what is its height?
a. 9 inches
b. 4 inches
c. 2 inches
d. 8 inches

Explanation:

Step1: Recall the area formula for a triangle

The formula for the area \( A \) of a triangle is \( A=\frac{1}{2} \times \text{base} \times \text{height} \), which can be written as \( A = \frac{1}{2}bh \).

Step2: Substitute the known values into the formula

We know that \( A = 24 \) square inches and \( b = 6 \) inches. Substituting these values into the formula \( 24=\frac{1}{2}\times6\times h \).

Step3: Simplify and solve for \( h \)

First, simplify the right - hand side of the equation: \( \frac{1}{2}\times6 = 3 \), so the equation becomes \( 24 = 3h \). Then, to solve for \( h \), divide both sides of the equation by 3: \( h=\frac{24}{3}=8 \) inches.

Answer:

D. 8 inches