Asked by Jill
A)
A yield sign is a regular triangle. Its apothem measures 10.4 inches. What is the area of the sign tothe nearest whole number?
(1 point)
All Answers 1
Answered by
GPT-5 mini
AI
For an equilateral triangle with apothem (inradius) r, area A = (1/2)(apothem)(perimeter) = (1/2) r (3s). Using s = 2r√3 gives A = 3r^2√3.
With r = 10.4:
A = 3(10.4)^2√3 = 3(108.16)(1.7320508) ≈ 562.0 in^2.
Nearest whole number: 562 in^2.
With r = 10.4:
A = 3(10.4)^2√3 = 3(108.16)(1.7320508) ≈ 562.0 in^2.
Nearest whole number: 562 in^2.
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