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in Mathematics by (53.3k points)

If A(a, b), B(a + r cos α, b + r sin α) and C(a + r cosβ  , b + r sin β) are the vertices of an equilateral triangle then

(a)  |α - β| = π/4

(b)  |α + β| = π/2

(c)   |α - β| = π/6

(d)  |α - β| = π/3

1 Answer

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Best answer

Correct option (d)  |α - β| = π/3

Explanation :

ΔABC is an equilateral triangle implies

AB = BC = CA

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