Question

f l = 12 cm and m = 5 cm, what is the length of n?

Answer 1

Answer on Question #73131, Math / Geometry

If $l = 12$ cm and $m = 5$ cm, what is the length of $n$?

Solution

Pythagorean Theorem

$$n^{2} = l^{2} + m^{2}$$

Substitute

$$n^{2} = (12)^{2} + (5)^{2}$$ $$n^{2} = 169$$ $$n = \pm \sqrt{169}$$ $$n = \pm 13$$

Since $n$ is the length of the hypotenuse, $n > 0$.

Then

$$n = 13 \text{ cm}.$$

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