Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\). Here \(a = 2.4\) in and \(b = 2.4\) in. So \(c^{2}=2.4^{2}+2.4^{2}\).

Step2: Calculate \(2.4^{2}+2.4^{2}\)

\(2.4^{2}=2.4\times2.4 = 5.76\), then \(2.4^{2}+2.4^{2}=5.76 + 5.76=11.52\). So \(c^{2}=11.52\).

Step3: Find \(c\)

\(c=\sqrt{11.52}\approx3.4\) (rounded to the nearest tenth).

Answer:

\(3.4\)