30-60-90 & 45-45-90 Triangles

Side opposite 45° = x √3, hypotenuse = 2x

Side opposite 45° = x, hypotenuse = x √2

Side opposite 45° = 2x, hypotenuse = x √2

Side opposite 45° = x √3, hypotenuse = x √2

The missing angle is 65° and the missing side is 4. Therefore this is a 45°,45°,90° triangle.

The missing angle is 90° and the missing side is 5.

The missing angle is 55° and the missing side is x √3.

The missing angle is 45° and missing side is 5 √2. Therefore this is a 45°,45°,90° triangle.