Pythagorean Theorem

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

What is the longest side of a right triangle called?

Back

Hypotenuse.

Front

If the side lengths of a triangle are 10, 12, and 15, how would you classify the triangle?

Back

Obtuse.

Front

If the side lengths of a triangle are 6, 9, and 15, how would you classify the triangle?

Back

Acute.

Front

In a right triangle, which side is always opposite the right angle?

Back

Hypotenuse.

Front

What do you do to cancel out the square when using the Pythagorean Theorem?

Back

Take the square root.

Front

True or False: In a right triangle, side a is always the longest side.

Back

False.

Front

What is the relationship between the angles in an acute triangle?

Back

All angles are less than 90 degrees.

Front

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

Back

One angle is greater than 90 degrees.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

Right triangle.