If the diagonals of the rhombus are in the ratio 4:7 and the area is 504sqcm find the length of the diagonals
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(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.
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