Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 48\) yd and \(b = 64\) yd.
Substitute \(a\) and \(b\) into the formula: \(c^{2}=48^{2}+64^{2}\).
Calculate \(48^{2}=48\times48 = 2304\) and \(64^{2}=64\times64 = 4096\).
Then \(c^{2}=2304 + 4096=6400\).

Step2: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{6400}\).
Since \(\sqrt{6400}=\sqrt{80\times80}=80\).

Answer:

\(80\)