Question

19)
x = 2
$x\sqrt{3}$
$2+2=4$
$x=4$
30°
y

Explanation:

Step1: Identify triangle sides

This is a 30-60-90 right triangle. Let the side opposite 30° be $x=2$.

Step2: Find hypotenuse

Hypotenuse = $2 \times$ shorter side
$y_{\text{hypotenuse}} = 2 \times 2 = 4$

Step3: Find longer leg

Longer leg = shorter side $\times \sqrt{3}$
$\text{Long leg} = 2\sqrt{3}$

Answer:

Hypotenuse (the side opposite the right angle): $4$
Side adjacent to 30° (longer leg): $2\sqrt{3}$