The adjoining figure shows an equilateral triangle OAB with each side = 2a units. Find the coordinates of the vertices.

Question

The adjoining figure shows an equilateral triangle OAB with each
side = 2a units Find the coordinates of the vertices

Brijendra Pal · Accepted Answer

Hi,
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5b1cf978d8e44%20png"
style="width: 422px; height: 246px;">

We know that in an equilateral triangle perpendicular fromthe vertices bisect opposite sides so OM = MB = a so tan 60 = AMOM= AMaAM = 3aso coordinate of A = a,3aand coordinate of B is 2a,0and coordinate of O is 0,0