Question

3 find the exact value of x and y in the following special right triangle. x 30° 10 60° y x = 5 y = 5√3

Explanation:

Step1: Identify triangle type

It is a 30-60-90 right triangle with hypotenuse 10.

Step2: Find x (opposite 30°)

Short leg = hypotenuse × 1/2
x = 10 × 1/2 = 5

Step3: Find y (opposite 60°)

Long leg = short leg × √3
y = 5 × √3 = 5√3

Answer:

x = 5, y = 5√3