Diagonals in the diamond

The length of one diagonal in a diamond is 19 cm greater than the length of the second diagonal, and the diamond area is 32 m2. Determine the sizes of the diagonals.

Final Answer:

u1 =  809.56 cm
u2 =  790.56 cm

Step-by-step explanation:

u1 = u2 + 19 S=32 m2 cm2=32 10000  cm2=320000 cm2  u2 = u1  19 S = 2 u1   u2 = 2 u1   (u119) 2S = u1219 u1  2 S=u1219 u  2 320000=u1219 u u2+19u+640000=0 u219u640000=0  a=1;b=19;c=640000 D=b24ac=19241(640000)=2560361 D>0  u1,2=2ab±D=219±2560361 u1,2=9.5±800.056404 u1=809.556404262=809.56 cm u2=790.556404262  u>0

Our quadratic equation calculator calculates it.

u2=u119=809.556419=790.56 cm



Did you find an error or inaccuracy? Feel free to send us. Thank you!



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

Dr Math
u1, u2 = unknown diagonals.





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You need to know the following knowledge to solve this word math problem:

algebraarithmeticplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
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