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). It is expressed as: c² = a² + b².

Front

If a = 12 and b = 35, what is c?

Back

c = 37

Front

True or False: The Pythagorean Theorem is c² = a² - b².

Back

False. The correct formula is c² = a² + b².

Front

Use the Pythagorean Theorem to find the length of the diagonal if a = 30 and b = 40. What is c?

Back

c = 50

Front

Solve for x: a = 6, b = 8. What is x?

Back

x = 10

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

In the Pythagorean Theorem, what do a and b represent?

Back

a and b represent the lengths of the two legs (sides) of a right triangle.

Front

If c = 13 and a = 5, what is b?

Back

b = 12

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 two shorter sides (legs) equals the square of the longest side (hypotenuse).

Front

If a = 9 and b = 12, what is the length of the hypotenuse?

Back

c = 15