classifying triangles using the converse of the Pythagorean

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

What is the formula for the Pythagorean theorem?

Back

a² + b² = c²

Front

Do the segment lengths 9, 12, and 18 form a right triangle?

Back

No

Front

Would the side lengths 10, 24, and 26 form a right triangle?

Back

Yes

Front

What type of triangle do the side lengths 9, 12, and 15 form?

Back

Right triangle

Front

What is a right triangle?

Back

A triangle with one angle measuring 90 degrees.

Front

What is an acute triangle?

Back

A triangle where all angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

A triangle where one angle is greater than 90 degrees.

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.

Front

What is the converse of the Pythagorean theorem?

Back

If a² + b² = c², then the triangle is a right triangle.