Question

RAD is a 30°-60°-90° triangle. Determine the missing lengths.

Answer 1

Answer:

DR = 10 units

AR = 8.66 units

Step-by-step explanation:

By applying sine rule in the given right triangle,

sin(∠R) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(30°) = $\frac{AD}{DR}$

$\frac{1}{2}=\frac{5}{DR}$

DR = 10 units

By applying tangent rule in the given triangle,

tan(∠R) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$tan(30^0)=\frac{AD}{AR}$

$\frac{1}{\sqrt{3}}=\frac{5}{AR}$

AR = 5√3

AR = 8.66 units