Question

what is the area of a right triangle 9 centimeters high with a base of 9 centimeters?
a 81 cm
b 18 square cm
c 40.5 square cm
d 40.5 cm

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

For this right triangle, the base is 9 centimeters and the height is 9 centimeters.

Step3: Substitute the values into the formula

Substitute base = 9 cm and height = 9 cm into the formula: $A = \frac{1}{2} \times 9 \times 9$.

Step4: Calculate the area

First, calculate $9 \times 9 = 81$. Then, multiply by $\frac{1}{2}$: $\frac{1}{2} \times 81 = 40.5$. The unit for area is square centimeters, so the area is 40.5 square cm.

Answer:

C. 40.5 square cm