Question 638391
We will solve this problem using the Pythagorean Theorem, which states that:

{{{a^2 + b^2 = c^2}}}

Now, given that a = 4cm and b = 3 cm, we will substitute our letters for the corresponding numbers:

{{{4^2 + 3^2 = c^2}}}

This equals:

{{{16 + 9 = c^2}}}

Adding 16 and 9, we get {{{25 = c^2}}}

We now know what {{{c^2}}} equals, but we need to know what c equals.  To find out, we have to do the opposite of what's being done to c.  C is being squared, and the opposite of a square is a square root.  So, we will take the square root of both sides:

{{{sqrt(25) = sqrt(c^2)}}}

which gives us our final answer:

{{{5 = c}}}, so side C of our triangle is 5cm