Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 45\), \(b = 60\), and \(c\) is the hypotenuse. So \(c^{2}=45^{2}+60^{2}\).

Step2: Calculate squares

\(45^{2}=45\times45 = 2025\) and \(60^{2}=60\times60=3600\). Then \(c^{2}=2025 + 3600=5625\).

Step3: Find the value of \(c\)

Take the square - root of both sides. \(c=\sqrt{5625}=75\).

Answer:

75