3. Find the area of a rhombus whose side is 14 cm and whose altitude is 10 cm. If one of its diagonals is 7 cm long, find the length of the other diagonal.
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Answer:
40 cm
Step-by-step explanation:
Since a rhombus is a Parallelogram, so it's area will be base times height
Base = Side and Height= Altitude
Area = 14 x 10
= 140 cm²
Area of Rhombus is also equal to pq/2 where p and q are the 2 diagonals of the Rhombus. We know 1 diagonal, let the other diagonal be x
7 × x/2 = 140 cm²
3.5x = 140 cm²
x = 40 cm
Length of the other diagonal = 40 cm
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