SOLUTION: an isosceles triangle with sides 5 and base 8, and I am being told to solve it like so: h^2+4^2=5^2 When I tried to solve it myself, I got h^2+16=25 The solution page gives

Algebra ->  Pythagorean-theorem -> SOLUTION: an isosceles triangle with sides 5 and base 8, and I am being told to solve it like so: h^2+4^2=5^2 When I tried to solve it myself, I got h^2+16=25 The solution page gives      Log On


   



Question 375236: an isosceles triangle with sides 5 and base 8, and I am being told to solve it like so:
h^2+4^2=5^2
When I tried to solve it myself, I got h^2+16=25
The solution page gives me:
h^2=24-16=9
I don't understand what h^2 means, or where the 24 or 9 are coming from. Please help.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

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h is the height of the triangle.
Drop a bisector from the vertex of your isoceles triangle to form two right triangles.
You can then use the Pythagorean theorem to solve for h since
h%5E2%2B4%5E2=5%5E2
h%5E2%2B16=25
h%5E2=9
highlight%28h=3%29