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natima [27]
3 years ago
13

PLEASE ANSWER + BRAINLIEST!!!

Mathematics
2 answers:
Degger [83]3 years ago
6 0
The closest is D . But  it should be + x^2 not - x^2
Rudik [331]3 years ago
5 0

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.

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