Pythagorean Word Problems

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

What is the Pythagorean theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

What are the legs of a right triangle?

Back

The two shorter sides that form the right angle.

Front

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

Back

5 (using the Pythagorean theorem: 3² + 4² = 5²).

Tags

CCSS.8.G.B.7

Front

What is a right triangle?

Back

A triangle with one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

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

Back

5, 12, 13 (it satisfies the Pythagorean theorem).

Tags

CCSS.8.G.B.8

Front

What is the height of a right triangle?

Back

The perpendicular distance from the base to the opposite vertex.

Front

In a right triangle, if the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

Back

8 (using the Pythagorean theorem: 10² - 6² = 8²).

Tags

CCSS.8.G.B.8

Front

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

Back

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

If a ladder is placed 10 feet away from a wall and reaches a height of 24 feet, what is the length of the ladder?

Back

26 feet (using the Pythagorean theorem: 10² + 24² = c²).

Tags

CCSS.8.G.B.8