Rhombus and diagonals

The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.

Correct answer:

h =  12 cm

Step-by-step explanation:

S=150 cm2 u1:u2=3:4 S=u1 u2/2 u1=3k u2=4k S=3k 4k/2 S=6 k2 k=S/6=150/6=5 cm u1=3k=3 5=15 cm u2=4k=4 5=20 cm a2=(u1/2)2+(u2/2)2  a=(u1/2)2+(u2/2)2=(15/2)2+(20/2)2=252=12.5 cm  S=ah h=S/a=150/12.5=12 cm



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Tips to related online calculators
Check out our ratio calculator.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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