SOLUTION: is it possible to construct a triangle with angel measerments of 110,40 and 30 degrees? also can you construct 3 isosceles triangles with one base?

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Question 511215: is it possible to construct a triangle with angel measerments of 110,40 and 30 degrees? also can you construct 3 isosceles triangles with one base?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Is it possible to construct a triangle with angel measerments of 110,40 and 30 degrees?
Yes; since the angles add up to 180 degrees that can be done.
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Also can you construct 3 isosceles triangles with one base?
Yes; more than three.
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Cheers,
Stan H.
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Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Triangles have angles. If you have a question about angels, see your local clergyman.

The sum of the measures of the interior angles of a triangle is

Construct one isosceles triangle. Construct the perpendicular bisector of the base. Select a point on the bisector other than the apex vertex of the original triangle. Construct segments from the selected point to each of the base vertices of the original triangle. You now have a new isosceles triangle with the same base as the originl. Choose another point on the bisector and repeat the process to create a third isosceles triangle with the same base. Do this as often as you like, since you have an infinite number of points on the base bisector to choose from.

John

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