Pythagorean 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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem applies to right triangles, which have one angle measuring 90 degrees.

Front

What is the length of the hypotenuse in a right triangle with legs of length 3 and 4?

Back

The length of the hypotenuse is 5, calculated using the formula: c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the other two angles are acute, meaning they are less than 90 degrees.

Front

If one leg of a right triangle is 6 and the hypotenuse is 10, what is the length of the other leg?

Back

The length of the other leg is 8, calculated using the formula: b = √(c² - a²) = √(10² - 6²) = √(100 - 36) = √64 = 8.

Front

What is an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Front

What is the distance formula in a coordinate plane?

Back

The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂): d = √((x₂ - x₁)² + (y₂ - y₁)²).

Front

How do you find the area of a right triangle?

Back

The area of a right triangle can be found using the formula: Area = (1/2) × base × height.

Front

What is the definition of a right triangle?

Back

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