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 three lengths can form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

Front

What is an acute triangle?

Back

A triangle where all three 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

What is a right triangle?

Back

A triangle that has one angle equal to 90 degrees.

Tags

CCSS.4.G.A.2

Front

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

Back

Tags

CCSS.8.G.B.8

Front

What does it mean if a triangle is classified as 'Not a triangle'?

Back

The given side lengths do not satisfy the Triangle Inequality Theorem.

Tags

CCSS.7.G.A.2

Front

If a triangle has sides of lengths 8 cm, 15 cm, and 17 cm, how would you classify it?

Back

Tags

CCSS.8.G.B.8

Front

What is the relationship between the angles and sides in 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

Front

What is the relationship between the angles and sides in an obtuse triangle?

Back

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

Tags

CCSS.HSG.CO.C.10