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=225=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.

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

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