Isosceles: A triangle with at two equal sides. In triangle ABC given below, sides AB and AC are equal. Equilateral: A triangle where all sides are equal. In triangle ABC shown below, sides AB = BC = CA. Remember that if the sides of a triangle are equal, the angles opposite the side are equal as well.

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    Nov 30, 2010 · We also learned about Angle-Side theorems. -If two sides of a triangle are not congruent, then the angles opposite them are not congruent, and the larger angle is the opposite the longer side.-If two sides of a triangle are not congruent, then the angles opposite them are not congruent, and the longer side is opposite the larger angle.

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    In triangle ABD you then know an angle and the two adjacent sides, so you can find the opposite side BD. 580. First solve the triangle ABC. Next in triangle ABD you know two sides and you can easily determine the angle BAD. 586. The "included angle" is one of the two angles between the two diagonals. It follows from the Side-Angle-Side Triangle Congruence Theorem that if the lengths of 2 sides of a triangle are known, and the measure of the angle between those 2 sides is known, there can only be one possible length for the third side. Suppose a triangle has sides of lengths of 5 cm and 12 cm. What is the longest the third side could be?

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