Pythagorean Theorem & Converse

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

What is the formula for Pythagorean theorem?

Back

a² + b² = c²

Tags

CCSS.8.G.B.8

Front

If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?

Back

Yes, it is a right triangle.

Tags

CCSS.8.G.B.8

Front

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

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 = 5 and b = 12, what is c in a right triangle?

Back

c = 13 (5² + 12² = 13²).

Tags

CCSS.8.G.B.8

Front

What is the converse of the Pythagorean theorem?

Back

If a² + b² = c², then the triangle is a right triangle.

Tags

CCSS.8.G.B.8

Front

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

Back

The other leg is 8 (6² + b² = 10²).

Tags

CCSS.8.G.B.7

Front

What are the three sides of a right triangle called?

Back

Leg A, Leg B, and Hypotenuse.

Front

If the sides of a triangle are 8, 15, and 17, which side is the hypotenuse?

Back

17 is the hypotenuse.

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