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.
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Question 915892: 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 stanbon(75887) (Show Source):
You can put this solution on YOUR website! The ratio of the base of an isosceles triangle to its altitude is 3:4. Find the measures of the angles of the triangle.
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Draw the picture.
You have two right triangles::
base = 3x/2 = (3/2)x
alt = 4x
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Let "t" be one of the base angles::
tan(t) = opp/adj = 4x/((3/2)x)) = 4/(3/2) = 8/3
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t = arctan(8/3) = 69.44 degrees
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Cheers,
Stan H.
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