Question

solve for c. 11 14 c =? pythagorean theorem: a^2 + b^2 = c^2 round your answer to the nearest hundredth.

Explanation:

Step1: Identify values for a and b

Let $a = 11$ and $b=14$.

Step2: Apply Pythagorean Theorem

According to $a^{2}+b^{2}=c^{2}$, we substitute the values: $c^{2}=11^{2}+14^{2}$. First, calculate $11^{2}=121$ and $14^{2}=196$. Then $c^{2}=121 + 196=317$.

Step3: Solve for c

Take the square - root of both sides: $c=\sqrt{317}\approx17.80$.

Answer:

$17.80$