SOLUTION: How can I find the height of a triangle that has a base of 10in. and a two sides that measure 13in? PLEASE HELP ME.

Question 600355: How can I find the height of a triangle that has a base of 10in. and a two sides that measure 13in? PLEASE HELP ME.
Answer by mamiya(56) (Show Source): You can put this solution on YOUR website!
Since two sides measures 13 in, that means we are talking about an isosceles triangle.
the height of that triangle is the distance between the midpoint of the base and the meeting point of the other two sides.
That height is perpendicular to the base ( because it is an isosceles triangle)
By applying the Pythagorean Theorem, we get
h^2 + (b\2)^2 = s^2 ( where h represents the height , b the base and s one of the other sides.
S0 we have h^2 = s^2 - (b/2)^2
= 13^2 - (10/2)^2
= 169 - 25
= 144
h^2 = 144 , so h = sqrt( 144) = 12
so the height is 12in
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