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

Question

asked Oct 18, 2021 144k views

1 Answer

Iainmcgin · Answer 1 · 2021-10-25T15:46:44+0000

Answer:

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.