One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters. What is the length of the hypotenuse?

Dec 1, 2016

Hypotenuse of right triangle is $6.54 \left(2 \mathrm{dp}\right)$ cm long.

Explanation:

Let first leg of righr triangle be ${l}_{1} = 3.2$cm.

Second leg of righr triangle be ${l}_{2} = 5.7$cm.

Hypotenuse of a right triangle is $h = \sqrt{{l}_{1}^{2} + {l}_{2}^{2}} = \sqrt{{3.2}^{2} + {5.7}^{2}} = \sqrt{42.73} = 6.54 \left(2 \mathrm{dp}\right)$cm.[Ans]

Dec 1, 2016

${a}^{2} + {b}^{2} = {h}^{2}$ where a and b are the lengths of the sides, and h is the length of the hypotenuse.
${\left(3.2\right)}^{2} + {\left(5.7\right)}^{2} = {h}^{2}$
10.24 + 32.49 = ${h}^{2}$
42.73 = ${h}^{2}$