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A decide whether the pointspoints (1, 2),(1,6) and (1+ √12,4)equilateral trianglethe vertices of an |
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Answer» Step-by-step explanation: A(1,2)B(1,6)C(1+2 3
,4) using distance formula AB= (1−1) 2 +(6−2) 2
= 4 2
=4 BC= (1+2 3
−1) 2 +(4+6) 2
= 12+4
=4 CA= (1−1−2 3
) 2 +(2−4) 2
= 12+4
=4 SINCE AB=BC=CA ∴ ABC is an EQUILATERAL TRIANGLE |
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