Question

In a school play ground, three sports incharge are sitting at positions located by
the points A, B and C on coordinate axes. Verify, these points form the vertices
of an equilateral triangle?​

Answer 1

if AB = AC = BC , then A , B & C are vertices of an equilateral triangle  , other wise not

Step-by-step explanation:

three sports incharge are sitting at positions located by the points A, B and C on coordinate axes

A - (Ax , Ay)

B - (Bx , By)

C - (Cx , Cy)

Using distance formula we will find Distance between

(A , B  ) , ( A , C)  & ( B , C)

AB = √(Ax - Bx)² + (Ay - By)²

AC = √(Ax - Cx)² + (Ay - Cy)²

BC = √(Bx - Cx)² + (By - Cy)²

if AB = AC = BC

then A , B & C are vertices of an equilateral triangle

other wise not

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