Question

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

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 \(a = 1.7\) mm and \(b=6.5\) mm. So \(c^{2}=(1.7)^{2}+(6.5)^{2}\).

Step2: Calculate squares

\((1.7)^{2}=1.7\times1.7 = 2.89\) and \((6.5)^{2}=6.5\times6.5 = 42.25\). Then \(c^{2}=2.89 + 42.25=45.14\).

Step3: Find \(c\)

\(c=\sqrt{45.14}\approx6.7\) mm.

Answer:

\(6.7\)