Pythagorean Theorem and Angles Review

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). Formula: a² + b² = c².

Front

What are supplementary angles?

Back

Supplementary angles are two angles that add up to 180°.

Front

If one angle measures 97°, what is the measure of its supplementary angle?

Back

The supplementary angle measures 83° (180° - 97° = 83°).

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

Find the missing side: a = 12, b = 16. What is c?

Back

c = 20 (12² + 16² = 20²).

Front

What is the relationship between complementary angles?

Back

Complementary angles are two angles that add up to 90°.

Front

If one angle measures 45°, what is the measure of its complementary angle?

Back

The complementary angle measures 45° (90° - 45° = 45°).

Front

What is the formula to find the area of a right triangle?

Back

Area = 1/2 * base * height.

Front

If the base of a right triangle is 10 and the height is 5, what is the area?

Back

Area = 25 (1/2 * 10 * 5 = 25).

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90°.