Question

Find the missing length of the triangle.

Answer 1

11
`(2)/(3)`

Explanation:

`a^(2)` +
`b^(2)` =
`c^(2)` (Pythagorean Theorem)

`a^(2)` +
`4^(2)` =
`(12(1)/(3))^(2)` (square numbers)

`a^(2)` + 16 = 152
`(1)/(9)` (subtract 16, both sides

`a^(2)` = 136
`(1)/(9)` (square root both sides)

a = 11
`(2)/(3)` or 11.66 repeating