Flashcard on Special Triangles

Front

What is a 30°-60°-90° triangle?

Back

A special right triangle where the angles measure 30°, 60°, and 90°. The sides are in the ratio 1:√3:2.

Front

What is a 45°-45°-90° triangle?

Back

A special right triangle where the angles measure 45°, 45°, and 90°. The sides are in the ratio 1:1:√2.

Front

Find the length of the hypotenuse in a 30°-60°-90° triangle if the shorter leg is 6.

Back

The hypotenuse is 12.

Front

Find the length of the longer leg in a 30°-60°-90° triangle if the shorter leg is 4.

Back

The longer leg is 4√3.

Front

If the hypotenuse of a 45°-45°-90° triangle is 10, what is the length of each leg?

Back

Each leg is 10/√2 or 5√2.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the angles in any triangle is always 180°.

Front

In a 30°-60°-90° triangle, if the longer leg is 10√3, what is the length of the shorter leg?

Back

The shorter leg is 10.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

If the base of a triangle is 8 and the height is 5, what is the area?

Back

The area is 20.

Front

What type of triangle has all sides equal?

Back

An equilateral triangle.