SOLUTION: how large are the congruent angles of an isosceles triangle that is exactly as tall as it is wide

Question 586427: how large are the congruent angles of an isosceles triangle that is exactly as tall as it is wide
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how large are the congruent angles of an isosceles triangle that is exactly as tall as it is wide
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Draw an isosceles triangle.
Let the base be 2x
Then the height is 2x
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Draw the height as a perpendicular bisector of the base.
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You have 2 right triangles.
Each has base = x and height = 2x
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Let theta be the acute angle on the base.
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Equation:
tan(theta) = 2x/x = tan(theta) = 2
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theta = arctan(2) = 63.43 degrees
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Cheers,
Stan H.
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