8th Grade Pythagorean Theorem

Front

What are the legs of a right triangle called?

Back

Sides a and b are called legs.

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Tags

CCSS.8.G.B.8

Front

What is the Pythagorean Theorem formula?

Back

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

Tags

CCSS.8.G.B.8

Front

If the lengths of the legs of a triangle are 15 and 12, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(15² + 12²) = 18.

Tags

CCSS.8.G.B.8

Front

Do the segment lengths 15, 12, and 9 form a right triangle?

Back

Yes, they satisfy the Pythagorean Theorem.

Tags

CCSS.8.G.B.8

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

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

Back

Using the Pythagorean Theorem: b = √(10² - 6²) = 8.

Tags

CCSS.8.G.B.7

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 right triangle has legs of lengths 8 and 15, what is the length of the hypotenuse?

Back

c = √(8² + 15²) = 17.

Tags

CCSS.8.G.B.7

Front

What is the total distance traveled if a person travels 30 miles west and 40 miles north?

Back

Total distance = √(30² + 40²) = 50 miles.

Tags

CCSS.8.G.B.8