Question

find the length of the hypotenuse, c, for the right triangle with sides, a = 8 and b = 8. round to the nearest hundredth.
c =

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$

Step2: Substitute \(a = 8\) and \(b = 8\)

$$c^{2}=8^{2}+8^{2}=64 + 64=128$$

Step3: Solve for \(c\)

$$c=\sqrt{128}\approx11.31$$

Answer:

\(11.31\)