What is the area of an equilateral triangle XYZ if side XZ has a length of √3 ?

Question

What is the area of an equilateral triangle XYZ if side XZ has a length of √3 ?

(A) (3√3)/4

(B) 3

(C) 3/2

(D) 3√3

(E) None of the above

I got; (A) (3√3)/4. Would this be the correct answer?

Answer 1

A = 1/2 x base x height

base = √3

height = √3 sin60° = √3 (√3 / 2) = 3/2

A = (1/2) (√3) (3/2) = (3/4) √3

I agree with your answer.