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
2 answers:
14.4 cm
First, find side lengths,
<span>A = </span><span>12</span>bh
<span>270.633 = </span><span>12</span>b(21.65)
b = 25
<span>Thus, 25 is the side lengths of the equilateral </span>triangle.
<span>To find the </span>radius<span> use,</span>
<span>r = </span><span><span>a3</span>3</span>
<span>r = </span><span><span>253</span>3</span>
<span>r = 14.43</span>
B) 14.4 is the correct answer
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