Question

show that the points A(a,0), C(0, a√3) formvan equilateral triangle​

Answer 1

Answer:

Given  A(a,0) B(−a,0) C(0,a3)

AB=(a−(−a))2+(0−0)2=4a2=2a

BC=(0−(−a))2+(a3)2=4a2=2a

CA=(0−(−a))2+(a3)2=4a2=2a

∴ AB= BC = CA

 Hence it is an equilateral triangle