Question

question 8 of 10
what is the area of the acute triangle given below?
a. 18 sq. units
b. 72 sq. units
c. 36 sq. units
d. 26 sq. units

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Identify the base and height from the diagram

From the given triangle, the base \( b = 12 \) units and the height \( h = 6 \) units.

Step3: Substitute the values into the formula

Substitute \( b = 12 \) and \( h = 6 \) into the formula \( A=\frac{1}{2}\times b\times h \). So, \( A=\frac{1}{2}\times12\times6 \).
First, calculate \( \frac{1}{2}\times12 = 6 \), then multiply by 6: \( 6\times6 = 36 \).

Answer:

C. 36 sq. units