Pythagorean Theorem

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle, commonly referred to as sides a and b.

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). It is expressed as c² = a² + b².

Tags

CCSS.8.G.B.8

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Tags

CCSS.8.G.B.8

Front

If a triangle has sides of lengths 20, 25, and 15, does it form a right triangle?

Back

Yes, it forms a right triangle.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

The formula to find the length of the hypotenuse (c) is c = √(a² + b²).

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the sum of the squares of the lengths of the legs (a and b) equals the square of the length of the hypotenuse (c): a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is the length of the hypotenuse if the legs are 60 in. and 80 in.?

Back

The length of the hypotenuse is 100 in.

Tags

CCSS.8.G.B.7

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem cannot be used for obtuse triangles.

Tags

CCSS.8.G.B.8

Front

What is the Pythagorean triple?

Back

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². An example is (3, 4, 5).

Tags

CCSS.8.G.B.8

Front

What is the significance of the right angle in the Pythagorean Theorem?

Back

The right angle is crucial because the Pythagorean Theorem only holds true for right triangles.

Tags

CCSS.8.G.B.8