Question

step 1: $a^{2}+b^{2}=c^{2}$
step 2: $3^{2}+4^{2}=x^{2}$
step 3: $9 + 16 = x^{2}$
step 4: $25 = x^{2}$
step 5: $sqrt{25}=x$
step 6: $5 = x$
use the steps on the left as a model.

step number	work
2	$5^{2}+12^{2}=c^{2}$ √
3	$25 + 144 = c^{2}$ √
4	$169 = c^{2}$ √
5		×
6

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute values

$5^{2}+12^{2}=c^{2}$

Step3: Calculate squares

$25 + 144=c^{2}$

Step4: Sum the values

$169=c^{2}$

Step5: Take square - root

$c=\sqrt{169}$

Step6: Find the value of c

$c = 13$

Answer:

$13$