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One of the diagonals of a rhombus is 18 cm and the area of the rhombus is 216 cm2. Find the length of the side of the rhombus.
- a)16 cm
- b)15 cm
- c)12 cm
- d)14 cm
Correct answer is option 'B'. Can you explain this answer?
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One of the diagonals of a rhombus is 18 cm and the area of the rhombu...
Given
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One of the diagonals of a rhombus is 18 cm and the area of the rhombus is 216 cm2.
Using the formula:
Area of rhombus
Now we know that the diagonals of a rhombus bisect each other and are perpendicular to each other.
So, in triangle AOB:
AB2 = AO2 + BO2
⇒ AB2 = 122 + 92
⇒ AB2 = 144 + 81
⇒ AB2 = 225
⇒ AB = 15 cm
∴ Side of the rhombus = 15 cm
Hence, the correct option is (B).
Most Upvoted Answer
One of the diagonals of a rhombus is 18 cm and the area of the rhombu...
Given
One of the diagonals of a rhombus is 18 cm and the area of the rhombus is 216 cm2.
Using the formula:
Area of rhombus
Now we know that the diagonals of a rhombus bisect each other and are perpendicular to each other.
So, in triangle AOB:
AB2 = AO2 + BO2
⇒ AB2 = 122 + 92
⇒ AB2 = 144 + 81
⇒ AB2 = 225
⇒ AB = 15 cm
∴ Side of the rhombus = 15 cm
Hence, the correct option is (B).
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Community Answer
One of the diagonals of a rhombus is 18 cm and the area of the rhombu...
Given
One of the diagonals of a rhombus is 18 cm and the area of the rhombus is 216 cm2.
Using the formula:
Area of rhombus
Now we know that the diagonals of a rhombus bisect each other and are perpendicular to each other.
So, in triangle AOB:
AB2 = AO2 + BO2
⇒ AB2 = 122 + 92
⇒ AB2 = 144 + 81
⇒ AB2 = 225
⇒ AB = 15 cm
∴ Side of the rhombus = 15 cm
Hence, the correct option is (B).
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One of the diagonals of a rhombus is 18 cm and the area of the rhombus is 216 cm2. Find the length of the side of the rhombus.a)16 cmb)15 cmc)12 cmd)14 cmCorrect answer is option 'B'. Can you explain this answer?
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