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One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 10 cm, what is the area of the rhombus?
- A40 sq. cm
- B20 sq. cm
- C100 sq. cm
- D80 sq. cm
Answer not set
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CCommunity
Let the diagonals be x and 2x
In a rhombus diagonals are perpendicular to each other
So,
(2x/2)2 + (x/2)2 = (10)2
x2 + x2/4 = 100
5x2/4 = 100
x = √80
Area of rhombus = Half of Product of diagonals = 2x2/2 = x2 = 80 cm2
In a rhombus diagonals are perpendicular to each other
So,
(2x/2)2 + (x/2)2 = (10)2
x2 + x2/4 = 100
5x2/4 = 100
x = √80
Area of rhombus = Half of Product of diagonals = 2x2/2 = x2 = 80 cm2