Question

question 6 of 10
what is the area of the obtuse triangle given below?
6
18
a. 108 sq. units
b. 54 sq. units
c. 36 sq units
d. 24 sq. units

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Identify the base and height from the diagram

From the diagram, the base of the triangle is \( 18 \) units and the height is \( 6 \) units.

Step3: Substitute the values into the formula

Substitute \( base = 18 \) and \( height = 6 \) into the formula:
\( A = \frac{1}{2} \times 18 \times 6 \)

Step4: Calculate the area

First, calculate \( 18 \times 6 = 108 \). Then, \( \frac{1}{2} \times 108 = 54 \).

Answer:

B. 54 sq. units