Question

An equiangular triangle ABC its base lies in y-axis and origin is its mid point .The coordinate of B is 0,2√(5). find another coordinates.​

Answer 1

Answer:

(0,-2√5), (2√1,0)

Step-by-step explanation:

Since BC is on Y axis with origin as its mid point, C will be at (0,-2√5)

And the side of the triangle is 4√5.

A lies on X axis as for an equilateral triangle the perpendicular and median are same

Triangle AOB is a right angled triangle with ∠OBA=60°

We know OB=2√5

tan ∠OBA = OA/OB

tan 60 = OA/2√5

OA= √3 × 2√5=2√15

A is (2√15,0)