Question

Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isoceles triangle have equal measure?

Answer 1

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

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Answer 2

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Explanation:

The fact that one angle of a triangle is larger than the other angle and the side that is opposite the larger angle is longer than the side which is opposite the smaller angle proves the isosceles triangle theorem.

This theorem proves that the base angles of any isosceles triangle have equal measure.