5. Find the area of an equilateral triangle with radius 8 m. Leave your answer in simplest radical form.

Question

Mathematics

Tabitha Stephenson

14 July, 23:23

5. Find the area of an equilateral triangle with radius 8 m. Leave your answer in simplest radical form.

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Answers (1)

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Lawson Fleming · Answer 1

Radius, r=8√3 m

Height of triangle, h=2r ⇒ 16 √3 m

Side of the triangle, a=16√3/sin60 ⇒ 32 m

Area of the triangle,

A = √3/4 (a ²)

A = √3/4 (32²)

A = 443.4 m²