Question

question 7: an equilateral triangle has a side length of 10 units. what is its area? type sqrt for the √ symbol. example 12√2 would be 12sqrt2. type your answer... square units

Explanation:

Step1: Recall area formula for equilateral triangle

The formula for the area \( A \) of an equilateral triangle with side length \( s \) is \( A = \frac{\sqrt{3}}{4} s^2 \).

Step2: Substitute \( s = 10 \) into the formula

Substitute \( s = 10 \) into the formula: \( A = \frac{\sqrt{3}}{4} \times (10)^2 \).

Step3: Simplify the expression

First, calculate \( 10^2 = 100 \). Then, \( \frac{\sqrt{3}}{4} \times 100 = 25\sqrt{3} \).

Answer:

\( 25\sqrt{3} \) square units (or typed as 25sqrt3)