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.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The square of the longest side must be equal to the sum of the squares of the other two sides.

Front

Can the side lengths 3, 4, and 5 form a triangle?

Back

Yes, they can form a right triangle because 3² + 4² = 5².

Front

Can the side lengths 5, 12, and 13 form a triangle?

Back

Yes, they can form a right triangle because 5² + 12² = 13².

Front

Can the side lengths 2, 2, and 3 form a triangle?

Back

Yes, they can form a triangle because 2 + 2 > 3.

Front

Can the side lengths 1, 2, and 3 form a triangle?

Back

No, they cannot form a triangle because 1 + 2 is not greater than 3.

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If a triangle has sides of lengths 7, 24, and 25, what type of triangle is it?

Back

It is a right triangle because 7² + 24² = 25².