Question

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

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle is $c^{2}=a^{2}+b^{2}$, where $c$ is the hypotenuse and $a = 2.6$ cm, $b = 4.9$ cm. So $c^{2}=2.6^{2}+4.9^{2}$.

Step2: Calculate squares

$2.6^{2}=2.6\times2.6 = 6.76$ and $4.9^{2}=4.9\times4.9 = 24.01$. Then $c^{2}=6.76 + 24.01=30.77$.

Step3: Find $c$

$c=\sqrt{30.77}\approx5.5$ (rounded to the nearest tenth).

Answer:

$5.5$