Question

Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized,

Answer 1

Option B.

Explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

`\tan \theta=(Perpendicular)/(Base)`

In the given triangle,

`\tan (30^(\circ))=(n)/(√(3))`

`(1)/(√(3))=(n)/(√(3))`

`1=n`

Using Pythagoras theorem, we get

`hypotenuse^2=Perpendicular^2+Base^2`

`m^2=n^2+(√(3))^2`

`m^2=1^2+3`

`m^2=4`

Taking square root on both sides, we get

`m=√(4)`

`m=2`

Therefore, the correct option is B.