SOLUTION: the ratio of the base of an isosceles triangle to its altitude is 3:4. find the measures of the angles of the triangle.

Question 925202: the ratio of the base of an isosceles triangle to its altitude is 3:4. find the measures of the angles of the triangle.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Here is a similar triangle:
The altitude splits tat isosceles triangle into two congruent right triangles.

Looking up the angle that has such a tangent, we find an approximate measure:
(feel free to round that to less decimal places)
So, the angle at the vertex measures .
The angles at the base have the same measure, , and we know that
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