Pythagorean Theorem and its Converse

Front

What is the Pythagorean Theorem?

Back

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

Tags

CCSS.8.G.B.8

Front

What is the converse of the Pythagorean Theorem?

Back

If a² + b² = c², then the triangle with sides a, b, and c is a right triangle.

Tags

CCSS.8.G.B.8

Front

How can you determine if a triangle is a right triangle using the Pythagorean Theorem?

Back

Check if the square of the longest side equals the sum of the squares of the other two sides.

Tags

CCSS.8.G.B.8

Front

What type of triangle is formed if a² + b² < c²?

Back

Obtuse triangle.

Tags

CCSS.8.G.B.8

Front

What type of triangle is formed if a² + b² > c²?

Back

Acute triangle.

Tags

CCSS.HSG.CO.C.10

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

Can a triangle with sides 10, 11, and 13 form a right triangle?

Back

No, because 10² + 11² does not equal 13² (100 + 121 ≠ 169).

Tags

CCSS.8.G.B.8

Front

What type of triangle do the sides 6, 9, and 17 form?

Back

Not a triangle, because 6 + 9 < 17.

Tags

CCSS.7.G.A.2

Front

What type of triangle do the sides 6, 8, and 12 form?

Back

Obtuse triangle, because 6² + 8² < 12² (36 + 64 < 144).

Tags

CCSS.8.G.B.8

Front

What is the definition of a right triangle?

Back

A triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2