Diagonals in the diamond

The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m2. Determine the sizes of the diagonals.

Correct answer:

u1 =  1012.07 cm
u2 =  988.07 cm

Step-by-step explanation:

u2=u124 S=2u1u2=2u1(u124)=50 m2=500000 cm2 2S=u1224u1 u224u1000000=0  a=1;b=24;c=1000000 D=b24ac=24241(1000000)=4000576 D>0  u1,2=2ab±D=224±4000576=224±862509 u1,2=12±1000.0719974082 u1=1012.0719974082 u2=988.07199740819   Factored form of the equation:  (u1012.0719974082)(u+988.07199740819)=0  u>0 u1=1012.07 cm
u2=u124=988.07 cm

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Showing 2 comments:
Math student
How comes about U1 and U2

Dr Math
u1, u2 = unknown diagonals.

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