1.2 Pythagorean Theorem 8.6C, 8.7C D

Front

What is the Pythagorean Theorem?

Back

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). Formula: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

Calculate the hypotenuse: a = 3, b = 4. What is c?

Back

c = 5 (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, √25 = 5).

Front

What is √48 approximately equal to?

Back

√48 is approximately equal to 7.

Front

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

Back

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

Front

What is 4²?

Back

4² = 16.

Front

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

Back

b = 12 (using the Pythagorean Theorem: 5² + b² = 13², 25 + b² = 169, b² = 144, b = 12).

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Front

What is the formula to find the length of the hypotenuse?

Back

The formula is c = √(a² + b²).