Pythagorean Theorem Basics

Front

To which shape(s) does the Pythagorean theorem apply?

Back

Right triangles only

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

In a right triangle, if one leg is 8 and the hypotenuse is 14, what is the length of the other leg?

Back

√(14² - 8²) = √(196 - 64) = √132 ≈ 11.49

Front

What is the formula for the Pythagorean theorem?

Back

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

Front

Calculate 9².

Back

81

Front

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

Back

√(5² + 12²) = √(25 + 144) = √169 = 13

Front

What does 'leg' refer to in a right triangle?

Back

The two shorter sides that form the right angle.

Front

If the hypotenuse is 10 and one leg is 6, how do you find the other leg?

Back

Use the formula: a² + 6² = 10², so a² = 100 - 36, a = √64 = 8.

Front

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

Back

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

Front

In a right triangle, if the hypotenuse is 15 and one leg is 9, what is the length of the other leg?

Back

√(15² - 9²) = √(225 - 81) = √144 = 12.