What is the side length of an equilateral Δ with an area of 173.2 in2? (Your answer will be numerically rounded to the nearest whole number.)Answer:Question 2
Question
What is the side length of an equilateral Δ with an area of 173.2 in2? (Your answer will be numerically rounded to the nearest whole number.)Answer:Question 2
Solution
To find the side length of an equilateral triangle given its area, we can use the formula for the area of an equilateral triangle:
Area = (s^2 * sqrt(3)) / 4
where s is the side length. We can rearrange this formula to solve for s:
s = sqrt((4 * Area) / sqrt(3))
Substituting the given area of 173.2 square inches:
s = sqrt((4 * 173.2) / sqrt(3))
Calculating the above expression gives a side length of approximately 18.97 inches. Rounding to the nearest whole number, the side length of the equilateral triangle is approximately 19 inches.
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