the area of rhombus is 2016 sq.cm and its side 65 cm find the diagonals
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Answer:
x=126
y=32
Step-by-step explanation:
area=1/2xy(x and y are lengths of diagonals)=2016
xy=4032cm^2 - (1)
square root((x/2)^2+(y/2)^2 =65
x^2+y^2=16900cm^2 -(2)
(x+y)^2=x^2+y^2+2xy
from 1 and 2
x+y=158 - (3)
and (x-y)^2=x^2+y^2 -2xy
(x-y)=94cm - (4)
from 3 and 4
x=126
y=32
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