Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^2 = a^2 + b^2$$
Here, \(a = 40\) yd and \(b = 75\) yd. So, \(c^2=40^{2}+75^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(40^{2}=40\times40 = 1600\)
\(75^{2}=75\times75=5625\)
Then \(c^{2}=1600 + 5625=7225\)

Step3: Find \(c\)

\(c=\sqrt{7225}\)
Since \(85\times85 = 7225\), so \(c = 85\)

Answer:

\(85\)