Learn shortcut ratios for the side lengths of two common right triangles: 45°-45°-90° and 30°-60°-90° triangles. The ratios come straight from the Pythagorean theorem.

A 45-45-90 triangle is a special type of right triangle, where the ratio of the lengths of the sides of a 45-45-90 triangle is always 1:1:√2, meaning that if one leg is x units long, then the other leg …

Learn shortcut ratios for the side lengths of two common right triangles: 45°-45°-90° and 30°-60°-90° triangles. The ratios come straight from the Pythagorean theorem.

I'm looking at this triangle right over here on the right, and I'm just applying the Pythagorean theorem. This side squared plus this side squared is going to equal the hypotenuse squared.

Why do all the angles in a triangle have to add up to 180 degrees, why not 270 or 360 or 90 degrees?

Use the Pythagorean theorem to discover patterns in 30°-60°-90° and 45°-45°-90° triangles.

Use the Pythagorean theorem to discover patterns in 30°-60°-90° and 45°-45°-90° triangles.

Learn to find the sine, cosine, and tangent of 45-45-90 triangles and also 30-60-90 triangles. Until now, we have used the calculator to evaluate the sine, cosine, and tangent of an angle. …

Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and …

Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and …