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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.)

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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.

This problem has been solved

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