Pythagorean Theorem/Special Right Triangles

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What are the angles in a 45°-45°-90° triangle?

Back

In a 45°-45°-90° triangle, both angles are 45 degrees, and the third angle is 90 degrees.

Tags

CCSS.8.G.B.8

Front

What is the ratio of the sides in a 45°-45°-90° triangle?

Back

In a 45°-45°-90° triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.

Tags

CCSS.8.G.B.8

Front

What are the angles in a 30°-60°-90° triangle?

Back

In a 30°-60°-90° triangle, the angles are 30 degrees, 60 degrees, and 90 degrees.

Tags

CCSS.HSG.CO.C.10

Front

What is the ratio of the sides in a 30°-60°-90° triangle?

Back

In a 30°-60°-90° triangle, the lengths of the sides are in the ratio 1:√3:2, where 1 is the length of the side opposite the 30° angle.

Tags

CCSS.HSG.CO.C.10

Front

If one leg of a 45°-45°-90° triangle is 5, what is the length of the hypotenuse?

Back

The hypotenuse is 5√2.

Tags

CCSS.8.G.B.8

Front

If the hypotenuse of a 30°-60°-90° triangle is 10, what is the length of the shorter leg?

Back

The shorter leg (opposite the 30° angle) is 5.

Tags

CCSS.8.G.B.8

Front

What type of triangle has one right angle?

Back

A right triangle has one right angle (90 degrees).

Tags

CCSS.4.G.A.2

Front

What is the length of the legs in a 30°-60°-90° triangle if the hypotenuse is 12?

Back

The shorter leg is 6 (opposite the 30° angle) and the longer leg is 6√3 (opposite the 60° angle).

Tags

CCSS.8.G.B.8

Front

What is the definition of a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Tags

CCSS.4.G.A.1