you are given 2 supplementary angles.one has a measure of 4x and the other has a measure of 8x. what is x?
2 answers:
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No, it's not possible for the sides of a triangle to have those lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.