SOLUTION: the radius of the circle is 1cm. the base of the triangle is 3cm. the area of the circle equals the area of the triangle . what is the height of the triangle?

Algebra ->  Surface-area -> SOLUTION: the radius of the circle is 1cm. the base of the triangle is 3cm. the area of the circle equals the area of the triangle . what is the height of the triangle?      Log On


   



Question 776992: the radius of the circle is 1cm. the base of the triangle is 3cm. the area of the circle equals the area of the triangle . what is the height of the triangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29b%2Ah, A=pi%2Ar%5E2
Area is calculable and the only actual unknown is h.
b = base length of triangle
r = radius of circle
A = area of both triangle and circle.
h = height of triangle. UNKNOWN.

Equate the equal areas.
%281%2F2%29bh=pi%2Ar%5E2
Apply Multiplicative Inverses...
highlight%28h=%282%2Fb%29pi%2Ar%5E2%29___________________Solved symbolically.

Substitute the values to find h value.