Q . The diagonals of a rhombus are in the ratio 5:12 its perimeter is 104 cm , find the length of the sides and the diagonals ?
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Rombus all 4 side are equal
X+x+x+x = 104
4x= 104
X= 26 cm
Now diagonals of rombus bisect each other at 90 then
26² = (5x)²+(12x)²
676 = 25x² + 144x²
676 = 169x²
X² = 676/169
X²= 4
X = 2
Hence 5*2 = 10 and 12*2= 24 …Hence full length of diagonals are 10+10 = 20 and 24+24=48
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