Question

now, find the exact value of c. if the value of c is an irrational number, use the square - root symbol to write your answer. you could solve on paper or below. then, record your answer on zearn. the pythagorean theorem says that if a, b, and c are the sides of a right triangle, where c is the hypotenuse, then: a² + b² = c². a² + b² = c² c =? a = 4 4²+6² = c² b = 6 c =

Explanation:

Step1: Calculate the left - hand side of the equation

$4^{2}+6^{2}=16 + 36=52$
So, $c^{2}=52$.

Step2: Solve for $c$

Since $c^{2}=52$ and $c$ is the length of a side (so $c>0$), then $c=\sqrt{52}$. Simplify $\sqrt{52}=\sqrt{4\times13}=2\sqrt{13}$.

Answer:

$2\sqrt{13}$