If three angles are sizes 56°, 89°, and 17°.
Is it possible that these angles are in a triangle?
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If three angles are sizes 56°, 89°, and 17°.
Is it possible that these angles are in a triangle?
Let's calculate the sum of the angles to see what total we get in this triangle:
The sum of angles in a triangle is 180 degrees, so this sum is not possible.
Impossible.
True or false:
DE not a side in any of the triangles.
This is a fundamental law of geometry! Every triangle, no matter its size or shape, has interior angles that sum to exactly 180°. This has been proven mathematically and cannot be violated.
Even being 1 degree off means the triangle is impossible! In mathematics, 'close' isn't good enough - the sum must be exactly 180°.
Yes! These three angles could be part of a quadrilateral (which has angles summing to 360°) or other polygon, but definitely not a triangle.
Just add them up! If the sum equals exactly 180°, they can form a triangle. If not, they cannot. It's that simple!
You literally cannot draw it! When you try to close the third angle, you'll find there's either too much or too little space left. The triangle simply won't close properly.
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