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

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Question 761898: the ratio of the base of an isosceles triangle to its altitude is 3:4. find the measures of the angles pf the triangle.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Much like saying ratio of base to altitude is 6:8. The altitude cuts this isosceles triangle into two right-triangles, each with legs in the ratio of 3:8. The hypotenuse would then have corresponding value of h, related as h=sqrt%283%5E2%2B8%5E2%29=sqrt%289%2B64%29=highlight%28sqrt%2873%29=h%29

Each of the angles at the endpoints of the original isosceles triangle measure as arcsin%288%2Fsqrt%2873%29%29 degrees (about 69.4 degrees).

The angle at top from where the altitude is drawn will be 180-2%2Aarcsin%288%2Fsqrt%2873%29%29 degrees.