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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Check out our ratio calculator.
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