The altitude of an equilateral triangle is 5 cm. Find the length of a side

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- March 2nd 2009, 03:20 AMcaptaintoast87Altitude of a triangle?
The altitude of an equilateral triangle is 5 cm. Find the length of a side

- March 2nd 2009, 03:31 AMADARSH
Let "a" be the side of an equilateral triangle.

altitude will fall on the midpoint of opp. side

Hence This makes a right triangle with**"a/2"**as__base__**"a"**as__hypotnuse__

and altitude as height

So using Pythagoras Theorem

Thus

Hence

-ve value for length is inappropriate So the answer is (Cake) tell me incase you can't digest this cake (Giggle)