Question

find the value of c. pythagorean theorem: a² + b² = c²

Explanation:

Step1: Identify a and b values

Let $a = 1$ and $b = 4$.

Step2: Apply Pythagorean theorem

According to $a^{2}+b^{2}=c^{2}$, we have $c^{2}=1^{2}+4^{2}=1 + 16=17$.

Step3: Solve for c

$c=\sqrt{17}$ m.

Answer:

$c = \sqrt{17}$ m