Question

one of the legs of a right triangle measures 2 cm and the other leg measures 7 cm. find the measure of the hypotenuse. if necessary, round to the nearest tenth.

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Substitute the values of the legs

Let $a = 2$ cm and $b = 7$ cm. Then $c^{2}=2^{2}+7^{2}=4 + 49=53$.

Step3: Solve for $c$

$c=\sqrt{53}\approx7.3$ cm (rounded to the nearest tenth).

Answer:

$7.3$ cm