# Special Right Triangles

## Special Right Triangles

The special right triangle is a right triangle whose sides are in a particular ratio. According to the special right triangle rules, it is not necessary to use the Pythagorean theorem to get the size of a side. Two special right triangles are $$45^{\circ}-45^{\circ}-90^{\circ}$$ and $$30^{\circ}-60^{\circ}-90^{\circ}$$ triangles.In a special $$45^{\circ}-45^{\circ}-90^{\circ}$$ triangle, the three angles are $$45^{\circ}, 45^{\circ}$$ and $$90^{\circ}$$. The lengths of the sides of this triangle are in the ratio of $$1:1:\sqrt{2}$$.In a special triangle...