Question

In the Pythagorean theorem, if a = 5 and b = 12 what does c = ? Show all steps.

Answer 1

A=<u />$5^{2}$⇒25
b=$12^{2}$⇒144
25+144⇒169⇒$\sqrt{169}$
$\sqrt{a+b}$⇒$\sqrt{169}$
=13

Answer 2

your equation is:

a² + b² = c²           

So, plug in what you know.

5² + 12² = c²

5² means 5*5, so your "a" is equal to 25

12² means 12*12, so your "b" is equal to 144

25 + 144 = c²

to this part, add a and b. you'll get 169.

169 = c²

next, use your calculator and square both sides.

√169 = √c²(you don't really have to do anything with the c, just get rid of the ²)

squaring both sides will get rid of the ² in c, and will give you your new number:

c = 13