Pythagorean Theorem, Pythagorean Converse, Special Right Triangles

The length of the hypotenuse of a right triangle if one leg is 7 units long and the other leg is 24 units long is _____.

Tags

CCSS.8.G.B.8

Tags

CCSS.8.G.B.8

If a right triangle has legs of lengths 6 cm and 8 cm, the length of the hypotenuse is _____.

Tags

CCSS.8.G.B.8

A triangle has sides of lengths 5, 12, and 13. It is (a)   .

• It is a right triangle.

• It is an obtuse triangle.

• It is an acute triangle.

• It is not a triangle.

Tags

CCSS.8.G.B.8

A triangle has sides of lengths 8, 15, and 17. What type of triangle is it?

• Right triangle

• Obtuse triangle

• Acute triangle

• Equilateral triangle

Tags

CCSS.8.G.B.8

Which of the following is an example of using the converse of the Pythagorean theorem to determine a triangle's type?

• Showing that a triangle with sides 9, 40, and 41 is a right triangle.

• Proving that a triangle with sides 3, 4, and 5 is a right triangle.

• Both A and B

• Neither A nor B

Tags

CCSS.8.G.B.8

Which of the following triangles is a special right triangle?

• A triangle with sides 3, 4, 5

• Both A and B

• Neither A nor B

Tags

CCSS.HSG.CO.C.10

In a 45°-45°-90° triangle, if one leg is 8 cm long, how long is the hypotenuse?

• 16 cm

• 8 cm

Tags

CCSS.8.G.B.8

In a 30°-60°-90° triangle, if the shorter leg is 6 cm, how long is the hypotenuse?

• 12 cm

Tags

CCSS.8.G.B.8

In a 30°-60°-90° triangle, if the hypotenuse is 10 cm, how long is the longer leg?

• 5 cm

Tags

CCSS.8.G.B.8