Question

PLEASE ANSWER + BRAINLIEST!!!

Answer 1

The closest is D . But  it should be + x^2 not - x^2

Answer 2

Answer:

Option (d) is correct.

$c^2 = h^2+(b - x)^2=h^2+b^2+x^2-2bx$

Step-by-step explanation:

Given : in the proof of the Law of Cosines, the equation $c^2 = h^2+(b - x)^2$  was created using the Pythagorean theorem.

We have to write the equation in expanded form by expanding $(b - x)^2$ and choose the correct option

Consider the given equation $c^2 = h^2+(b - x)^2$

We will expand $(b - x)^2$ using algebraic identity  

$(a-b)^2=a^2+b^2-2ab$

Here a= b and b = x

On simplify we get,

$(b - x)^2=b^2+x^2-2bx$

Thus equation becomes,

$c^2 = h^2+(b - x)^2=h^2+b^2+x^2-2bx$

Thus, option (d) is correct.