Based on formula for area of equilateral triangle: A=s^2 times square root of 3, over 4.

Get rid of square root symbols. 25 times sq root of 3= 25 x 1.732 = 43.30

s^2 times square root of 3, over 4 therefore, equals 43.30

Cross multiply, becomes s^2 times sq root of 3 = 173.20

Divide both sides by 1.732

Leaves s^2 = 100, or s=10

Split triangle in half, and you have a rt triangle with hypotenuse of 10 and base of 5.

Height= 10^2 - 5^2 = x^2, x^2= 75 so height = square root of 75

Check my work. I may have screwed up somewhere along the line!

Get rid of square root symbols. 25 times sq root of 3= 25 x 1.732 = 43.30

s^2 times square root of 3, over 4 therefore, equals 43.30

Cross multiply, becomes s^2 times sq root of 3 = 173.20

Divide both sides by 1.732

Leaves s^2 = 100, or s=10

Split triangle in half, and you have a rt triangle with hypotenuse of 10 and base of 5.

Height= 10^2 - 5^2 = x^2, x^2= 75 so height = square root of 75

Check my work. I may have screwed up somewhere along the line!