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 6
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.)
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 * √3) / 4
where s is the side length. We can rearrange this formula to solve for s:
s = √(4 * Area / √3)
Substituting the given area of 173.2 in^2:
s = √(4 * 173.2 / √3)
Calculating this gives a side length of approximately 20. So, the side length of the equilateral triangle is approximately 20 inches.
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