Pythagorean Theorem Review

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 a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

How many sides does a right triangle have?

Back

A right triangle has three sides.

Tags

CCSS.2.G.A.1

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.

Front

If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5 units.

Tags

CCSS.8.G.B.7

Front

What is the relationship between the legs and the hypotenuse in a right triangle?

Back

The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

Tags

CCSS.8.G.B.8

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Tags

CCSS.8.G.B.8

Front

What is an example of a real-world application of the Pythagorean Theorem?

Back

Determining the distance between two points on a coordinate plane.

Tags

CCSS.8.G.B.8

Front

What is the formula for finding the length of one leg if the hypotenuse and the other leg are known?

Back

If c is the hypotenuse and b is the known leg, then a = √(c² - b²).

Tags

CCSS.8.G.B.7