The area of rhombus is 48cm2. one of the diagonals measures 8cm. what is the length of the other diagonals??
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area of rhombus = (1/2)(length of one diagonal)×(length of another diagonal)
⇒48 = (1/2)×8× length of another diagonal
⇒length of another diagonal = 48/4 = 12 cm
⇒48 = (1/2)×8× length of another diagonal
⇒length of another diagonal = 48/4 = 12 cm
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Answer:
Step-by-step explanation:
Given :-
Area of rhombus = 48 cm2
Length of one Diagonal = 8 cm
To Find :-
Length of the other diagonal
Formula to be used :-
Area of rhombus = (1/2) × d₁ × d₂
Solution :-
Let the other length is x.
Area of rhombus = (1/2) × d₁ × d₂
⇒ 48 = (1/2) × 8 × x
⇒ x = 48/4
⇒ x = 12 cm
Hence, the length of the other diagonals is 12 cm.
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