Question

1. an equilateral triangle has side length 8 units. what is the area?

a. $16\sqrt{3}$ square units
b. 24 square units
c. $24\sqrt{3}$ square units
d. 32 square units

Explanation:

Step1: Recall area formula for equilateral triangle

The area $A$ of an equilateral triangle with side length $s$ is given by:
$$A = \frac{\sqrt{3}}{4}s^2$$

Step2: Substitute $s=8$ into the formula

$$A = \frac{\sqrt{3}}{4} \times 8^2$$

Step3: Calculate $8^2$ and simplify

$$8^2 = 64$$
$$A = \frac{\sqrt{3}}{4} \times 64 = 16\sqrt{3}$$

Answer:

A. $16\sqrt{3}$ square units