The area of a rhombus is 240cm2 and one of the diagonals is 30cm.Find the length of the other diagonal. *
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Answer :-
The length of the other diagonal is 16 cm.
Step-by-step explanation :-
To Find,
- The length of the other diagonal of rhombus
Solution,
Given that,
- The area of rhombus = 240 cm²
- One diagonal of rhombus ( d1 ) = 30 cm
Let us assume the one given diagonal as d1 and the other as d2.
As we know that,
Area of rhombus = 1/2 × d1 × d2, therefore
➭ 1/2 × d1 × d2 = Area
➭ 1/2 × 30 × d2 = 240
➭ 1 × 15 × d2 = 240
➭ 15 × d2 = 240
➭ d2 = 240 / 15
➭ d2 = 16 ★
Hence, the other diagonal is 16 cm.
Now, Verification
➭ 1/2 × d1 × d2 = Area
➭ 1/2 × 30 × 16 = 240
➭ 1 × 15 × 16 = 240
➭ 240 = 240
L.H.S = R.H.S
Hence, Verified !
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