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December 18, 2014

December 18, 2014

Posted by **Anonymous** on Tuesday, January 20, 2009 at 7:19pm.

So each triangle is equiangular. But I don't know, is that enough to prove them congruent? Because aren't equiangular triangles also equilateral? What would the method be?

- geometry -
**Reiny**, Tuesday, January 20, 2009 at 9:04pmNo

To prove that two triangles are congruent you need at least one side of one triangle to be equal to that side in the other.

Having only angles equal would make them similar, that is, the corresponding angles are equal, and the corresponding sides are in the same ratio.

e.g.

suppose you have a any triangle, now create a new triangle by doubling each side of the original.

They certainly will not be congruent, but the corresponding angles of the the new and the old one would be equal.

an equilateral triangle has all its angles the same, namely 60 degrees.

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