Ashima, Bharti and camella are seated at A(3,1), B(6,4) and C(8,6) respectively. Do think they an seated is a line? Give reasons for your answer.
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2
(i) Using distance formula, we have
AB=√(6-3)²+(4-1)² = √(3)² + (3) ²
= √9+9 = √18 = 3√2 units
BC √(8-6)² + (6-4)² = √(2)²+(2)²
= √4+4 √8 = 2√2 units
AC = √(8-3)² + (6-1)² = √(5)² + (5)²
= √25+ 25 = √50 = 5√2 units
AB+ BC = 3√2+2√2 = 5√2 = AC
. A, B and C are collinear.
Thus, Ashima, Bharti and Camella are seated in a line
(ii) Co-ordinate Geometry.
(iii) Democratic values lead to equality.
Answered by
5
Explanation:
AB=√18=3√2
BC=√8=2√2
AC=√50 =5√2
they seated in a line because AB+BC=AC
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