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 acute, obtuse, or right using side lengths?

Back

Use the Converse of the Pythagorean Theorem: If a^2 + b^2 > c^2, the triangle is acute; if a^2 + b^2 < c^2, it is obtuse; if a^2 + b^2 = c^2, it is right.

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

What is an acute triangle?

Back

A triangle where all angles are less than 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is an obtuse triangle?

Back

A triangle where one angle is greater than 90 degrees.

Tags

CCSS.4.G.A.2

Front

Given sides 9, 40, and 41, which is the hypotenuse?

Back

41, because it is the longest side.

Tags

CCSS.HSG.CO.C.10

Front

If a triangle has sides of lengths 4, 5, and 6, what type of triangle is it?

Back

It is an acute triangle.

Tags

CCSS.4.G.A.2

Front

What is the formula to check if a triangle is right using side lengths a, b, and c?

Back

a^2 + b^2 = c^2, where c is the longest side.

Tags

CCSS.8.G.B.8

Front

What does it mean if a triangle is classified as obtuse?

Back

It means that the triangle has one angle that is greater than 90 degrees.

Tags

CCSS.4.G.A.2

Front

What is the relationship between the sides of an acute triangle?

Back

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

Tags

CCSS.HSG.CO.C.10