Asked by Anonymous
An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.
Answers
Answered by
Henry
All of the angles are equal: A = B = C = 180/3 = 60o.
All of the sides are equal: a = b = c.
h = 5 cm, sin60 = h/a = 5/a, a = 5/sin60 = 5.77 cm.
P = a + b + c = 5.77 + 5.77 + 5.77 = 17 cm.
All of the sides are equal: a = b = c.
h = 5 cm, sin60 = h/a = 5/a, a = 5/sin60 = 5.77 cm.
P = a + b + c = 5.77 + 5.77 + 5.77 = 17 cm.
Answered by
Henry
Correction: apothem = s/2*Tan(180/n).
5 = S/2*Tan(180/3), S = 17.32 cm.
P = 17.32 + 17.32 + 17.32 = 52 cm.
5 = S/2*Tan(180/3), S = 17.32 cm.
P = 17.32 + 17.32 + 17.32 = 52 cm.
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