Question

Make a the subject of a2+b2=c2

Answer 1

Answer:

$a=\sqrt{c^2-b^2$

⇒ $a=\sqrt{(c+b)(c-b)}$        [Factorized form]

Step-by-step explanation:

Given expression:

$a^2+b^2=c^2$

We need to make $a$ the subject.

In order to do that we need to solve the expression for $a$ in terms of $b$ and $c$

We have,

$a^2+b^2=c^2$

Subtracting both sides by $b^2$

$a^2+b^2-b^2=c^2-b^2$

$a^2=c^2-b^2$

Taking square root both sides in order to remove square of $a$

$\sqrt{a^2}=\sqrt{c^2-b^2}$

$a=\sqrt{c^2-b^2$

The difference of squares can be factorized and written  as:

$a=\sqrt{(c+b)(c-b)}$    [difference of squares $x^2-y^2=(x+y)(x-y)$ ]