SOLUTION: A. Use indirect proof to prove each statement. 1. If m E ≠ m G in ∆EFG, Prove that ∆EFG is not equilateral

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Question 1177049: A. Use indirect proof to prove each statement.
1. If m E ≠ m G in ∆EFG,
Prove that ∆EFG is not equilateral

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Given: the measure of angle E is not equal to the measure of angle G

Assume triangle EFG is equilateral.

Then triangle EFG is equiangular.

Then the measure of angle E is equal to the measure of angle G.

This contradicts the Given.

Hence the assumption that triangle EFG is equilateral is false.

Therefore triangle EFG is not equilateral.


John

My calculator said it, I believe it, that settles it

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