Question

solve for c #1
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: $sqrt{25}=x$

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

$\sqrt{169}=c$

Answer:

$c = 13$