Question

type the steps used to solve for c in the triangle above. use the steps on the left as a model.
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: $5 = x$

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

$\sqrt{169}=c$

Step6: Find the value of c

$13 = c$

Answer:

$13$