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: $a^{2}+b^{2}=c^{2}$. $a^{2}+b^{2}=c^{2}$ $8^{2}+5^{2}=c^{2}$ $c=$

Explanation:

Step1: Calculate \(8^{2}+5^{2}\)

$$\begin{align*} 8^{2}+5^{2}&=64 + 25\\ &=89 \end{align*}$$

So \(c^{2}=89\)

Step2: Solve for \(c\)

Since \(c^{2}=89\), then \(c=\sqrt{89}\) (because \(c>0\) as it is the length of a side of a triangle)

Answer:

\(\sqrt{89}\)