The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides.

Correct answer:

u1 =  14.24
u2 =  19.24
a =  11.97

Step-by-step explanation:

S=u1u2/2 u2=u1+5  u12+5u12137=0 x2+5x274=0  a=1;b=5;c=274 D=b24ac=5241(274)=1121 D>0  x1,2=2ab±D=25±1121 x1,2=2.5±16.740669042783 x1=14.240669042783 x2=19.240669042783   Factored form of the equation:  (x14.240669042783)(x+19.240669042783)=0  u1>0 u1=14.24 
a2=(u1/2)2+(u2/2)2 a=(u1/2)2+(u2/2)2=11.97

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