Question

4(d) Draw an equilateral triangle such that i hbar one vertex is on Origin, second is 0nX - alpha and third vertex is in first Quadrant. Find its area​

Answer 1

Step-by-step explanation:

Slope of the line x=3y is 31 which is 30∘ with the positive x-axis.

As it is an equilateral triangle the other vertex must be on x=−3y

Let the side be (x,y). Hence,

x2+y2=a2

4y2=a2

y=±2a. 

Similarily, x=±23a

Hence, if the triangle lies in the 1st quadrant and 4th quadrant vertex is (23a,−2a)

If the triangle lies in the 2nd and 3rd quadrant the vertex is

(−23a,−2a