Question

Use the triangle below. Find the length of the missing side. If necessary, round to the nearest tenth. b = 12 and c = 13

A=?

Answer 1

☆The length of the missing side is 5.

.

Explanation:

☆Remember, Pythagorean theorem!

It looks like:
`{a}^(2) + {b}^(2) = {c}^(2)`

.

☆All we need to do is plug in!

`{a}^(2) + {b}^(2) = {c}^(2) \\ {a}^(2) + {12}^(2) = {13}^(2) \\ {a}^(2) + 144 = 169 \\ \frac{\: \: \: \: \: \: \: \: - 144 = - 144}{ {a}^(2) = √(25) } \\ a = 5`

☆Therefore the value of A is 5.