Diagonals of a rhombus 2

One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm2, find the side of the rhombus.

Correct answer:

a =  10 cm

Step-by-step explanation:

u=4+v=4+12=16 S=96 cm2  S = 2uv​ = 2(4+v)v​  96=(4+v)⋅ v/2  96=(4+v)⋅ v/2 −0.5v2−2v+96=0 0.5v2+2v−96=0  a=0.5;b=2;c=−96 D=b2−4ac=22−4⋅0.5⋅(−96)=196 D>0  v1,2​=2a−b±D​​=1−2±196​​=−2±141​ v1,2​=−2±14 v1​=12 v2​=−16  v=v1​=12 cm u=4+v=4+12=16 cm  a=(u/2)2+(v/2)2​=(16/2)2+(12/2)2​=10 cm

Our quadratic equation calculator calculates it.


Try another example


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



Showing 1 comment:
Putra
Alas tabung





Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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

Units of physical quantities:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: