SOLUTION: 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, int
Algebra.Com
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.
RELATED QUESTIONS
given a triangle with sides 4, 5, 6. find the EXACT values of the angles to show that one (answered by kensson)
The angle bisector of one angle of a triangle forms two angles that measure 27 degrees.... (answered by dabanfield)
One of the angles of a triangle is a right angle. How do you show that the other angles... (answered by Alan3354)
In one triangle one of the angles is twice the measure of another and the third angle is... (answered by mananth)
one angle of a triangle is a right angle. another angle of the triangle is three times... (answered by edjones)
One angle of a triangle is a right angle. Another angle of the triangle is three times... (answered by John10)
The sum of the angle measures of any triangle is
180
degrees. Suppose that one angle... (answered by solver91311)
One angle of a triangle is twice as large as another and 25 degree more than the third... (answered by sachi)
one angle of a triangle is twice as large as another and 25 degree more than the third... (answered by sachi)