Chapter 8.3, Problem 7AYU

True or False The Law of Cosines states that the square of one side of a triangle equals the sum of the squares of the other two sides, minus twice their product.

To determine

To find: Whether the given statement is true or false.

Answer to Problem 7AYU

Solution:

false

Explanation of Solution

Given:

The Law of Cosines states that the square of one side of a triangle equals the sum of the squares of the other two sides, minus twice their product.

Calculation:

The Law of Cosines states that the square of one side of a triangle equals the sum of the squares of the other two sides, minus twice their product is false.

The cosine formulae are given below.

$a² = b² + c² - 2bc\text{cos}A$

$b² = a² + c² - 2ac\text{cos}B$

$c² = a² + b² - 2ab\text{cos}C$