Question

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

Answer 1

B) 14.4 is the correct answer

Answer 2

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