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प्रश्न
Prove that the points (1 ,1),(-4 , 4) and (4 , 6) are the certices of an isosceles triangle.
उत्तर
PQ = `sqrt ((1 + 4)^2 + (1 - 4)^2) = sqrt (25 + 9) = sqrt 34` units
QR = `sqrt ((-4-4)^2 + (4 - 6)^2) = sqrt (64 + 4) sqrt 68` units
PR = `sqrt ((4 - 1)^2 + (6 - 1)^2) = sqrt (9 + 25) = sqrt 34` units
∵ PQ = QR
∴ P,Q and R are the vertices of an isosceles triangle.
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