Pythagorean Theorem Exit Ticket

Front

What is the formula for the Pythagorean theorem?

Back

a² + b² = c², where c is the hypotenuse and a and b are the legs of the right triangle.

Tags

CCSS.8.G.B.8

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

If one leg (a) of a right triangle is 6 and the other leg (b) is 8, what is the length of the hypotenuse (c)?

Back

c = √(6² + 8²) = √(36 + 64) = √100 = 10.

Tags

CCSS.8.G.B.7

Front

What is the length of one leg (b) if the hypotenuse (c) is 10 and the other leg (a) is 6?

Back

b = √(c² - a²) = √(10² - 6²) = √(100 - 36) = √64 = 8.

Tags

CCSS.8.G.B.7

Front

If the hypotenuse (c) is 13 and one leg (a) is 5, what is the length of the other leg (b)?

Back

b = √(c² - a²) = √(13² - 5²) = √(169 - 25) = √144 = 12.

Tags

CCSS.8.G.B.7

Front

What is the relationship between the sides of a right triangle according to the Pythagorean theorem?

Back

The sum of the squares of the two legs equals the square of the hypotenuse.

Tags

CCSS.8.G.B.8

Front

In a right triangle, if one leg is 9 and the hypotenuse is 15, what is the length of the other leg?

Back

b = √(c² - a²) = √(15² - 9²) = √(225 - 81) = √144 = 12.

Tags

CCSS.8.G.B.7

Front

What is the Pythagorean theorem used for?

Back

It is used to determine the length of a side in a right triangle when the lengths of the other two sides are known.

Tags

CCSS.8.G.B.8

Front

If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

Back

c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Tags

CCSS.8.G.B.7

Front

What is the Pythagorean theorem in words?

Back

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

Tags

CCSS.8.G.B.8