SOLUTION: if the median drawn on the base of a triangle is half its base, the triangle will be? 1.right angled 2.acute angled 3.obtuse angled 4.equilateral

Algebra ->  Triangles -> SOLUTION: if the median drawn on the base of a triangle is half its base, the triangle will be? 1.right angled 2.acute angled 3.obtuse angled 4.equilateral      Log On


   

Question 743705: if the median drawn on the base of a triangle is half its base, the triangle will be?
1.right angled
2.acute angled
3.obtuse angled
4.equilateral
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if the median drawn on the base of a triangle is half its base, the triangle will be?
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Sketch the triangle as it was described.
The median breaks the original triangle into 2 identical triangles.
The median equals the base in each of those triangles.
So each of the triangles is 45-45-90
Therefore the sum of the base angles of the original triangle is 45+45 = 90
So the vertex angle must be 90 degrees.
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Answer: right triangle
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Cheers,
Stan H.
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1.right angled
2.acute angled
3.obtuse angled
4.equilateral