Question

what is the area of the obtuse triangle given below? a. 97.5 sq. units b. 195 sq. units c. 154 sq. units d. 48.75 sq. units

Explanation:

Step1: Recall the formula for the area of a triangle

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

Step2: Identify the base and height from the diagram

From the diagram, the base of the triangle is \( 15 \) units and the height is \( 13 \) units.

Step3: Substitute the values into the formula

Substitute \( base = 15 \) and \( height = 13 \) into the formula: \( A = \frac{1}{2} \times 15 \times 13 \).
First, calculate \( 15 \times 13 = 195 \). Then, \( \frac{1}{2} \times 195 = 97.5 \).

Answer:

A. 97.5 sq. units