Question

Which of the following statements is true?

A. The length of the hypotenuse of a special π/6, π/3, π/2 right triangle is equal to twice the length of the leg opposite the π/3 angle.
B. The length of the leg opposite the π/3 angle of a special π/6, π/3, π/2 right triangle is equal to the square root of 3 times the length of the leg opposite the π/6 angle.
C. The length of the hypotenuse of a special π/6, π/3, π/2 right triangle is equal to the square root of 3 times the length of the leg opposite the π/3 angle.
D. It is possible for a special π/6, π/3, π/2 right triangle to be isosceles.

Answer 1

B

Explanation:

Let’s name the side opposite to ∏/3 = X

Let’s name the side opposite to ∏/6 = Y

tan ∏/3 = √3 = X/Y

Then , X = √3 x Y