Pythagorean Theorem

Front

What is the hypotenuse in a right triangle?

Back

The longest side in a right triangle.

Front

Define the term 'right angle'.

Back

A 90 degree angle.

Front

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

Back

Yes.

Front

Which sides are referred to as the legs in a right triangle?

Back

The sides 'a' and 'b'.

Front

Which equation can be used to solve for 'x' if one leg is 15 and the other is 21?

Back

21² – 15² = x².

Front

What is the Pythagorean Theorem?

Back

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

Front

If one leg of a right triangle is 8 and the hypotenuse is 10, what is the length of the other leg?

Back

6 (using 8² + b² = 10²).

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the legs equals the square of the hypotenuse.

Front

In a right triangle, if the legs are 5 and 12, what is the length of the hypotenuse?

Back

13 (using 5² + 12² = c²).

Front

What is the formula to find the length of a leg if the hypotenuse and one leg are known?

Back

c² - a² = b² or c² - b² = a².