Chapter 5 Re-Test

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

How do you find the length of the hypotenuse in a right triangle?

Back

To find the length of the hypotenuse, use the Pythagorean Theorem: c = √(a² + b²), where a and b are the lengths of the other two sides.

Front

What is a right triangle?

Back

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

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

How do you calculate the diagonal of a rectangle?

Back

To calculate the diagonal of a rectangle, use the Pythagorean Theorem: d = √(length² + width²), where d is the diagonal.

Front

What is a triangle's hypotenuse?

Back

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

Front

What are the properties of a right triangle?

Back

1. One angle is 90 degrees. 2. The side opposite the right angle is the hypotenuse. 3. The Pythagorean Theorem applies.

Front

How do you determine if a triangle is a right triangle using side lengths?

Back

To determine if a triangle is a right triangle, check if the square of the longest side equals the sum of the squares of the other two sides (Pythagorean Theorem).

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

A 3-4-5 triangle is a special right triangle where the lengths of the sides are in the ratio 3:4:5, satisfying the Pythagorean Theorem.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated using the formula: Perimeter = 2 × (length + width).