Question

Find the missing side.

1) 2304
2) 3600
3) 1296
4) 36

Answer 1

`hypotenuse {}^(2) = opposite {}^(2) + adjacent {}^(2) \\ let \: adjacent = x \\ 60 {}^(2) = {48}^(2) + {x}^(2) \\ {60}^(2) - {48}^(2) = {x}^(2) \\ 3600 - 2304 = {x }^(2) \\ 1296 = {x}^(2) \\ x = √(1296) \\ x = 36`

Answer 2

option 4

Explanation:

using Pythagoras' identity in the right triangle.

BC² + AC² = AB² , that is

a² + 48² = 60²

a² + 2304 = 3600 ( subtract 2304 from both sides )

a² = 1296 ( take square root of both sides )

a =
`√(1296)` = 36