Rhombus

The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height

Result

a =  2.702 cm
h =  2.642 cm

Solution:

u=4.2 cm v=3.4 cm  a=(u/2)2+(v/2)2=(4.2/2)2+(3.4/2)22.7019=2.702  cm u = 4.2 \ cm \ \\ v = 3.4 \ cm \ \\ \ \\ a = \sqrt{ (u/2)^2+(v/2)^2 } = \sqrt{ (4.2/2)^2+(3.4/2)^2 } \doteq 2.7019 = 2.702 \ \text { cm }
S=u v/2=4.2 3.4/2=35750=7.14 cm2  S=a h h=S/a=7.14/2.7019=5101932.6425=2.642  cm S = u \cdot \ v / 2 = 4.2 \cdot \ 3.4 / 2 = \dfrac{ 357 }{ 50 } = 7.14 \ cm^2 \ \\ \ \\ S = a \cdot \ h \ \\ h = S/a = 7.14/2.7019 = \dfrac{ 510 }{ 193 } \doteq 2.6425 = 2.642 \ \text { cm }







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Pythagorean theorem is the base for the right triangle calculator. Do you want to convert length units?

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