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Between the two towns A and B discussed in Section 7.2.3. Determine if the points (1,5), (2, 3) and (-2,-11) are collinear.Answer is No |
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Answer» Answer : No as you told I will explain How.. Explanation : it will be collinear if the sum of any two sides are greater than the other. Let A (1,5) , B (2,3) , C (-2,-11) are the POINTS Distance Formula :- √(x1 - x2)2 + ( y1 - y2)2 Distance of AB →√(1-2)2 + (5-3)2 →√(1) + (4) →√5 Distance of BC →√(2-(-2))2 + (3-(-11))2 →√(2+2)2 + (3+11)2 →√(16) + (196) →√212 Distance of AC →√(1-(-2))2 + (5-(-11))2 →√(1+2)2 + (5+11)2 →√(9) + (256) →√265 Therefore, The sum of any two sides will never give the third side Hence, The given points are non - collinear.. Thank-you. |
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