Converse of Pythagorean Theorem

Front

What is the Converse of the Pythagorean Theorem?

Back

If in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Tags

CCSS.8.G.B.8

Front

How can you determine if a triangle is obtuse using side lengths?

Back

If the square of the longest side is greater than the sum of the squares of the other two sides, the triangle is obtuse.

Tags

CCSS.HSG.CO.C.10

Front

How can you determine if a triangle is acute using side lengths?

Back

If the square of the longest side is less than the sum of the squares of the other two sides, the triangle is acute.

Tags

CCSS.HSG.CO.C.10

Front

What type of triangle is formed by sides 5, 9, and 11?

Back

Obtuse triangle.

Tags

CCSS.4.G.A.2

Front

What type of triangle is formed by sides 4, 5, and 6?

Back

Acute triangle.

Tags

CCSS.4.G.A.2

Front

What type of triangle is formed by sides 15, 18, and 22?

Back

Acute triangle.

Tags

CCSS.4.G.A.2

Front

What type of triangle is formed by sides 7, 24, and 25?

Back

Right triangle.

Tags

CCSS.8.G.B.8

Front

In a right triangle, what is the hypotenuse?

Back

The longest side opposite the right angle.

Front

If a triangle has sides 9, 40, and 41, which side is the hypotenuse?

Back

41.

Tags

CCSS.8.G.B.8

Front

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

Back

The square of the hypotenuse equals the sum of the squares of the other two sides (a² + b² = c²).

Tags

CCSS.8.G.B.8