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Isosceles Triangles have two equal sides and the angles opposite those sides are equal.

Equilateral Triangles have three equal sides and angles. Angles in an equilateral triangle are always 60°.

Isosceles—two long sides are the same. Two bottom angles are the same. Any two sides or angles can be the same. Equilateral—All sides are the same. All angles are 60°.

The special right triangles below have set ratios of side: side: hypotenuse. No need for the Pythagorean Theorem.

4 3-4-5 or any ratio thereof.

5 s

s 2 This is a 45-45-90 right triangle. Both non-right angles are 45° Cut a square in half diagonally and you get two of these.

3

30°

3x s

2x If you put two 30—60—90 right triangles together at their long legs, you form an equilateral triangle.

x 60°

With right triangles, the sides are referred to as legs. The longest side is always found opposite the right angle and is called the hypotenuse.