Pythagorean Theorem

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 can be 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

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

How do you determine if a set of three numbers can form a right triangle?

Back

To determine if three numbers can form a right triangle, check if the square of the largest number equals the sum of the squares of the other two numbers (a² + b² = c²).

Tags

CCSS.8.G.B.8

Front

What is the formula to find the length of one leg of a right triangle if the hypotenuse and the other leg are known?

Back

If c is the hypotenuse and b is the known leg, the formula is: a² = c² - b².

Tags

CCSS.8.G.B.8

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the three angles is always 180 degrees, with one angle being exactly 90 degrees.

Tags

CCSS.8.G.A.5

Front

What is the significance of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and angles.

Tags

CCSS.8.G.B.8

Front

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

Back

No, the Pythagorean Theorem specifically applies to right triangles only.

Tags

CCSS.8.G.B.8

Front

What is an example of a Pythagorean triple?

Back

An example of a Pythagorean triple is (3, 4, 5), where 3² + 4² = 5².

Tags

CCSS.8.G.B.8