Pythagorean Theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What is the hypotenuse in a right triangle?

Back

The longest side opposite the right angle.

Front

If the lengths of the two shorter sides of a right triangle are 9 and 12, what is the length of the hypotenuse?

Back

15 (using the Pythagorean Theorem: 9² + 12² = 15²).

Front

How do you determine if three lengths can form a right triangle?

Back

Check if a² + b² = c², where c is the longest side.

Front

If John walks 6 blocks North and 8 blocks West, how do you calculate his distance from the starting point?

Back

Use the Pythagorean Theorem: √(6² + 8²) = 10 blocks.

Front

What is the formula for the Pythagorean Theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

What are the side lengths of a 3-4-5 triangle?

Back

3, 4, and 5 (it is a right triangle).

Front

Can a triangle with sides 8, 15, and 17 be a right triangle?

Back

Yes, because 8² + 15² = 17².

Front

What is the relationship between the sides of a right triangle?

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If one side of a right triangle is 5 and the hypotenuse is 13, what is the length of the other side?

Back

12 (using the Pythagorean Theorem: 5² + b² = 13²).