Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = feet

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(a = 8.3\), \(b = 2.6\), and \(c\) is the hypotenuse.

Step2: Substitute values into formula

\(a^2 = 8.3^2 = 68.89\), \(b^2 = 2.6^2 = 6.76\). Then \(c^2 = 68.89 + 6.76 = 75.65\).

Step3: Solve for c

Take the square root: \(c=\sqrt{75.65}\approx8.7\) (rounded to nearest tenth).

Answer:

\(8.7\)