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 is expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is the formula for finding the hypotenuse of a right triangle?

Back

The formula for finding the hypotenuse (c) of a right triangle is: c = √(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 one leg of a right triangle measures 3 in and the other leg measures 4 in, what is the length of the hypotenuse?

Back

The hypotenuse is 5 in, calculated as c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Tags

CCSS.8.G.B.7

Front

Which set of sides can form a right triangle? 6, 8, 10 or 5, 12, 13?

Back

The set 5, 12, 13 can form a right triangle, as it satisfies the Pythagorean Theorem: 5² + 12² = 13².

Tags

CCSS.8.G.B.8

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Tags

CCSS.8.G.B.8

Front

What is the hypotenuse of a right triangle with legs measuring 8 in and 15 in?

Back

The hypotenuse is 17 in, calculated as c = √(8² + 15²) = √(64 + 225) = √289 = 17.

Tags

CCSS.8.G.B.7

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 determine distances and relationships between points.

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

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