each side of a rhombus is 40 cm and one of its diagonal is 48 cm find area
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Hey there!
Answer:
Area = 1536 cm²
Step-by-step explanation:
Given,
Side of rhombus = 40 cm
One Diagonal of rhombus = 48 cm
OB = 1/2 * BD
OB = 1/2 * 48
OB = 24 cm
Now,
In ΔOAB,
OA = √AB² - OB² (by Pythagoras Theorem.)
OA = √(40)² - (24)² = √1600 - 576 = √1024 = 32 cm
Now, AC = 2 * OA = 32 × 2 = 64 cm
Area = 1/2 *Product of diagonals
Area = 1/2 * 48 * 64
Area = 1536 cm²
Hope It Helps You!
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sartaazclass:
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