An equilateral triangle has an area of #25sqrt3# #cm^2#. What is the height?

1 Answer
Binayaka C.
Oct 16, 2016

The height is #5sqrt3 cm#.

Explanation:

We know the area of an equilateral triangle of sides (s) is #A_t=sqrt3/4*s^2 =25 sqrt3 or s^2/4=25 or s^2=100 or s= +-10 #.Side length can not be negative so side #s=10 cm#.
We also know #A_t = 1/2*b *h# where #b=#base(s) and #h=# height
So #25sqrt3 = 1/2*10*h or 5*h=25sqrt3 or h=(25sqrt3)/5 =5sqrt3 cm#[Ans]

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