SOLUTION: Height of an equilateral triangle is 5root 3 cm .find its area & perimeter

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Question 985501: Height of an equilateral triangle is 5root 3 cm .find its area & perimeter
Answer by ikleyn(52834) About Me  (Show Source):
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Height of an equilateral triangle is 5sqrt%283%29 cm. Find its area & perimeter.
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In an equilateral triangle the height  h  is equal to

h = %28a%2Asqrt%283%29%29%2F2,

where  a  is the side measure. Hence,

a = %282h%29%2Fsqrt%283%29.

In our case  a = %282%2A5sqrt%283%29%29%2Fsqrt%283%29 = 10 cm.

Therefore, the area of the triangle is

S = 1%2F2.ah = 1%2F2.10.5sqrt%283%29 = 25sqrt%283%29 cm%5E2.

The perimeter is

P = 3a = 30 cm.