Question

When deriving the Law of Cosines, the equation h^2=a^2-x^2 is created using the Pythagorean theorem. Use substitution to replace h2 in the equation below and then simplify. c^2=h^2+b^2-2bx+x^2

Answer 1

A) c^2=a^2+b^2-2bx

Explanation:

got it right on edge :)

Answer 2

`c^2=a^2+b^2-2bx`

Explanation:

We are given equation

`h^2=a^2-x^2`

we need to plug this equation into

`c^2=h^2+b^2-2bx+x^2`

we can replace h^2

and we get

`c^2=a^2-x^2+b^2-2bx+x^2`

now, we can cancel like terms

`c^2=a^2+b^2-2bx`

so, we get after simplification as

`c^2=a^2+b^2-2bx`