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 can be expressed as: a² + b² = c².

Front

What is the opposite of squaring a number?

Back

Square root.

Front

What do you need to do to find the length of side b in a right triangle if you know sides a and c?

Back

You need to subtract the square of side a from the square of side c and then take the square root: b = √(c² - a²).

Front

Which set of sides forms a right triangle? 4, 5, 6 or 5, 12, 13?

Back

5, 12, 13 forms a right triangle.

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 equals the square of the longest side (hypotenuse).

Front

Can the Pythagorean Theorem be used to find missing angles in a triangle?

Back

No, the Pythagorean Theorem is used only to find missing sides in a right triangle.

Front

Which set of side lengths does not form a right triangle? 38, 80, 90 or 14, 15, 29?

Back

14, 15, 29 does not form a right triangle.

Front

If a = 3 and b = 4, what is c in a right triangle?

Back

c = √(3² + 4²) = √(9 + 16) = √25 = 5.

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

What is the formula to find the length of side a if b = 6 and c = 10?

Back

a = √(c² - b²) = √(10² - 6²) = √(100 - 36) = √64 = 8.