This equilateral triangle has side lengths of 6 inches and a height of approximately 5 inches. Find the area, given these dimensions.
square inches
Answer
Final Answer: The area of the equilateral triangle is approximately \(\boxed{15.59}\) square inches.
Step 1 ：We are given an equilateral triangle with side lengths of 6 inches. We are asked to find the area of this triangle.
Step 2 ：The formula to find the area of an equilateral triangle is \(\frac{\sqrt{3}}{4} \times (\text{side length})^2\).
Step 3 ：Substituting the given side length into the formula, we get \(\frac{\sqrt{3}}{4} \times 6^2\).
Step 4 ：Solving this expression, we find that the area of the triangle is approximately 15.59 square inches.
Step 5 ：Final Answer: The area of the equilateral triangle is approximately \(\boxed{15.59}\) square inches.
