Question 1154546: Suppose that one of the angles of a triangle is exactly twice the size of another angle of the triangle. Show that any such triangle can be dissected, by a single straight cut, into two triangles, one of which is isosceles, the other of which is similar to the original.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Show by making a simple diagram.
Draw a triangle with one angle with measure x degrees and another angle with measure 2x degrees.
Bisect the angle with measure 2x degrees.
That divides the triangle into two smaller triangles.
One of those two smaller triangles has two angles with measure x degrees, so it is isosceles.
The other smaller triangle has two angles with measures x and 2x, so it is similar to the original triangle.
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