SOLUTION: How do you find the perimeter of a 30-60-90 triangle with only the Hypotenuse of 28cm?

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Question 551633: How do you find the perimeter of a 30-60-90 triangle with only the Hypotenuse of 28cm?
Answer by fcabanski(1391) About Me  (Show Source):
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IN a 30-60-90 triangle the lengths of the sides are always in the following ratios:


1:2:sqrt(3) is the ratio for the sides opposite 30:90:60 degree angles.


The hypotenuse is 2*14=28 cm. Therefore the length of every side from the standard ratio 1:2:sqrt(3) is multiplied by 14. Thus the sides are:


1*14=14, 28, 14*sqrt(3).


The perimeter is the sum of the sides' lengths which is:


14+28+14*sqrt(3) = approximately 66.25 cm.

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