Unit 7 Hw#1

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 diagonal in a rectangle?

Back

To find the length of the diagonal (d) in a rectangle, use the Pythagorean Theorem: d = √(length² + width²).

Front

What is a right triangle?

Back

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

Front

What is the hypotenuse of a right triangle?

Back

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

Front

Which equation can be used to solve for 'x' in a right triangle?

Back

x² + a² = c², where 'a' is one leg and 'c' is the hypotenuse.

Front

What are the side lengths of a right triangle?

Back

The side lengths of a right triangle must satisfy the Pythagorean Theorem: a² + b² = c².

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

How can you determine if a set of lengths can form a right triangle?

Back

To determine if lengths a, b, and c can form a right triangle, check if a² + b² = c² holds true.

Front

What is the formula for calculating the area of a rectangle?

Back

The area (A) of a rectangle is calculated as A = length × width.

Front

What is the formula for calculating the perimeter of a rectangle?

Back

The perimeter (P) of a rectangle is calculated as P = 2(length + width).