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

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 13² (25 + 144 = 169).

Tags

CCSS.8.G.B.8

Front

What is the formula to check if a triangle is a right triangle using the Converse of the Pythagorean Theorem?

Back

c² = a² + b², where c is the longest side.

Tags

CCSS.8.G.B.8

Front

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

Back

17, because it is the longest side.

Tags

CCSS.HSG.CO.C.10

Front

Do the lengths 7, 24, and 25 form a right triangle?

Back

Yes, because 7² + 24² = 25² (49 + 576 = 625).

Tags

CCSS.8.G.B.8

Front

What is a right triangle?

Back

A triangle where one angle measures 90 degrees.

Tags

CCSS.4.G.A.2

Front

If a triangle has sides 6, 8, and 10, is it a right triangle?

Back

Yes, because 6² + 8² = 10² (36 + 64 = 100).

Tags

CCSS.8.G.B.8

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

If a triangle has sides 9, 12, and 14, does it form a right triangle?

Back

No, because 9² + 12² ≠ 14² (81 + 144 ≠ 196).

Tags

CCSS.8.G.B.8

Front

What is the hypotenuse in a right triangle?

Back

The longest side opposite the right angle.