Question

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

Answer 1

Answer:

Option B.

Step-by-step explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

In the given triangle,

$\tan (30^{\circ})=\dfrac{n}{\sqrt{3}}$

$\dfrac{1}{\sqrt{3}}=\dfrac{n}{\sqrt{3}}$

$1=n$

Using Pythagoras theorem, we get

$hypotenuse^2=Perpendicular^2+Base^2$

$m^2=n^2+(\sqrt{3})^2$

$m^2=1^2+3$

$m^2=4$

Taking square root on both sides, we get

$m=\sqrt{4}$

$m=2$

Therefore, the correct option is B.