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3) What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm? (round to nearest tenth) A) 10.8 cm B) 14.4 cm C) 15.4 cm D) 16.4 cm
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3) What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm? (round to nearest tenth)

A) 10.8 cm
B) 14.4 cm
C) 15.4 cm
D) 16.4 cm

User Droidpl
by
6.2k points

2 Answers

5 votes
B) 14.4 is the correct answer

User Rameshwar Vyevhare
by
6.4k points
5 votes
14.4 cm

First, find side lengths,

A = 12bh
270.633 = 12b(21.65)
b = 25

Thus, 25 is the side lengths of the equilateral triangle.

To find the radius use,

r = a33
r = 2533
r = 14.43
User Deksden
by
6.3k points
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