Converse of the Pythagorean Theorem: If the two sides of a triangle have equal lengths, then the angles opposite those two sides are equal. Examples:...
Converse of the Pythagorean Theorem: If the two sides of a triangle have equal lengths, then the angles opposite those two sides are equal.
Examples:
In the triangle ABC with sides a = 5 cm, b = 12 cm, and c = 13 cm, the angles opposite a, b, and c are all equal to 60°. Therefore, the Pythagorean theorem holds in this case.
In the triangle with sides a = 8 cm, b = 15 cm, and c = 17 cm, the angles opposite a, b, and c are all equal to 60°. Again, the Pythagorean theorem holds in this case