12-6-2024 Pythagorean Theorem: Missing Sides

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

If one side of a right triangle is 6 and the other side is 8, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 6² + 8² = c²; 36 + 64 = c²; 100 = c²; c = 10.

Tags

CCSS.8.G.B.7

Front

What is the length of the missing side if the hypotenuse is 13 and one side is 5?

Back

Using the Pythagorean Theorem: 5² + b² = 13²; 25 + b² = 169; b² = 144; b = 12.

Tags

CCSS.8.G.B.7

Front

How do you find the length of a missing side in a right triangle?

Back

To find the length of a missing side, use the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Tags

CCSS.8.G.B.7

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

If the lengths of the two legs of a right triangle are 9 and 12, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 9² + 12² = c²; 81 + 144 = c²; 225 = c²; c = 15.

Tags

CCSS.8.G.B.7

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Tags

CCSS.8.G.B.8

Front

If the hypotenuse is 25 and one leg is 20, what is the length of the other leg?

Back

Using the Pythagorean Theorem: 20² + b² = 25²; 400 + b² = 625; b² = 225; b = 15.

Tags

CCSS.8.G.B.7

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

If one side of a right triangle is 7 and the hypotenuse is 25, what is the length of the other side?

Back

Using the Pythagorean Theorem: 7² + b² = 25²; 49 + b² = 625; b² = 576; b = 24.

Tags

CCSS.8.G.B.7