Question

part ii - 30-60-90
find missing sides and leave your answers in radical forms.
if your answer is ( 2sqrt{2} ), type 2sqrt2 - no space, lowercase. if your answer is ( \frac{7sqrt{2}}{2} ), type 7sqrt2/2
(1) ( bc = 4 )
image of a right triangle with right angle at b, angle at a is 30°, angle at c is 60°
table with columns 30°, 60°, 90° and rows with placeholders and expressions like ( x ), ( xsqrt{3} ), ( 2x )

Explanation:

Step1: Match BC to 30° side

Side $BC=4$ is opposite $30^\circ$, so $x=4$.

Step2: Calculate 60° side (AB)

Side opposite $60^\circ$ is $x\sqrt{3}$.
$\text{AB}=4\sqrt{3}$

Step3: Calculate hypotenuse (AC)

Hypotenuse is $2x$.
$\text{AC}=2\times4=8$

Answer:

• For $30^\circ$ (side AC fill-in): 8
• For $60^\circ$ (side AB fill-in): 4sqrt3
• For $90^\circ$ (hypotenuse AC fill-in): 8