If the length of one of the diagonal is 25 cm and area of rhombus is 625 sqcm,then find the length of another diagonals.
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Answered by
0
Answer:
½×d1×d2= ½× 25 × D2 = 625
D2 = 12.5
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Answered by
63
Given :-
- Length of First Diagonal = 25cm
- Area of Rhombus = 625cm²
To Find :-
- Length of the Second Diagonal
Solution :-
⇢ Area = ½ × Product of its Diagonals
⇢ 625 = ½ × 25 × Diagonal
⇢ 625 × 2 = 25 × Diagonal
⇢ 1250 = 25 × Diagonal
⇢ 1250 ÷ 25 = Diagonal
⇢ 50cm = Diagonal
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Verification :-
⇢ Area = ½ × Product of its Diagonals
⇢ 625 = ½ × ( 25 × 50 )
⇢ 625 = ½ × 1250
⇢ 625 = 625
Hence, Verified
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Therefore, The length of the second Diagonal is 50cm.
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