Converse of Pythagorean Theorem

Front

What is the Converse of the Pythagorean Theorem?

Back

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

Front

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

Back

If a² + b² > c², where c is the longest side, the triangle is acute.

Front

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

Back

If a² + b² < c², where c is the longest side, the triangle is obtuse.

Front

What is the condition for a triangle to be classified as a right triangle?

Back

A triangle is a right triangle if a² + b² = c², where c is the longest side.

Front

Given the sides 4, 5, and 6, classify the triangle.

Back

The triangle is acute.

Front

Given the sides 8, 4, and 10, classify the triangle.

Back

The triangle is obtuse.

Front

Do the segment lengths 9, 12, and 15 form a right triangle?

Back

Yes, they form a right triangle.

Front

Given the lengths 8, 15, and 17, classify the triangle.

Back

The triangle is a right triangle.

Front

Given the lengths 6, 9, and 12, classify the triangle.

Back

The triangle is obtuse.

Front

What is the longest side in a triangle?

Back

The longest side is the side opposite the largest angle.