Question

if a triangle has a side a = 5 and b = 12, what is c? 169 17 13 10

Explanation:

Step1: Assume it's a right - triangle

If it's a right - triangle, we can use the Pythagorean theorem $c^{2}=a^{2}+b^{2}$ (assuming $c$ is the hypotenuse). Given $a = 5$ and $b = 12$.

Step2: Calculate $c^{2}$

$c^{2}=5^{2}+12^{2}=25 + 144=169$.

Step3: Calculate $c$

$c=\sqrt{169}=13$.

Answer:

13