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follow these steps to derive the law of cosines. 1. the relationship be…

Question

follow these steps to derive the law of cosines.

  1. the relationship between the side lengths in $\triangle abd$ is

$c^{2}=x^{2}+h^{2}$ by the

Explanation:

Step1: Identify triangle type

$\triangle ABD$ is a right triangle (right angle at $D$), with hypotenuse $c$, legs $x$ and $h$.

Step2: Match to theorem

The formula $c^2 = x^2 + h^2$ is the definition of the theorem that relates the sides of a right triangle.

Answer:

Pythagorean Theorem