Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 2.7\)m and \(b = 8.9\)m, the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=(2.7)^{2}+(8.9)^{2}\).

Step2: Calculate squares

\((2.7)^{2}=7.29\) and \((8.9)^{2}=79.21\). Then \(c^{2}=7.29 + 79.21=86.5\).

Step3: Find the square - root

\(c=\sqrt{86.5}\approx9.3\) (rounded to the nearest tenth).

Answer:

9.3