The lengths of the three consecutive sides of a parallelogram are 3x - 5, 2x - 3, and 5x - 15. Find the perimeter of the parallelogram. 3x+5 (2x-3 58-15
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The lengths of the three consecutive sides of a parallelogram are 3x - 5, 2x - 3, and 5x - 15. Find the perimeter of the parallelogram. 3x+5 (2x-3 58-15
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Answer:
Let the coordinate of D be (x,y). In a parallelogram, mid point of diagonal AC coincides with the mid-point of diagonal BD.
Mid point of AC=( 23+3,26+2)=(3,4)Mid point of BD=( 2x+5,2y+10)Equating,(i) 3= 2x+5and 4= 2y+10⟹x=1 and y=−2
Coordinates of D(1,−2)
(ii) BD= (5−1)
2+(10+2) 2=16+144=16=410
units.