Special Right Triangles Mixed

Front

What is a 45°-45°-90° triangle?

Back

Front

What is a 30°-60°-90° triangle?

Back

A special right triangle with angles measuring 30°, 60°, and 90°. The sides are in the ratio 1 : @@ adical{3}@@ : 2, where 1 is the length of the side opposite the 30° angle.

Front

If the legs of a 45°-45°-90° triangle are each 8, what is the length of the hypotenuse?

Back

The hypotenuse is @@8 adical{2}@@.

Front

In a 30°-60°-90° triangle, if the shorter leg is 4, what is the length of the longer leg?

Back

The longer leg is @@4 adical{3}@@.

Front

What is the formula for finding the hypotenuse in a 30°-60°-90° triangle?

Back

The hypotenuse is twice the length of the shorter leg.

Front

What is the relationship between the sides of a 45°-45°-90° triangle?

Back

The lengths of the legs are equal, and the hypotenuse is @@ adical{2}@@ times the length of a leg.

Front

If the hypotenuse of a 30°-60°-90° triangle is 12, what is the length of the shorter leg?

Back

The shorter leg is 6.

Front

Back

@@x = 5 adical{2}@@.

Front

How do you find the area of a 30°-60°-90° triangle?

Back

Front

What is the measure of the angles in a 45°-45°-90° triangle?

Back

The angles measure 45°, 45°, and 90°.