Math, asked by manvi504113, 5 months ago

the length of diagonals of a rhombus are 60 cm and 80 cm find the area of Rhombus​

Answers

Answered by Itzraisingstar
16

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Perpendicular distance between the opposite sides of a Rhombus = 48 cm

Step-by-step explanation:

The length of the diagonals of a rhombus are 60 and 80 cm

=> Area of rhombus = (1/2) * 60 * 80

= 2400 cm²

Diagonal of rhombus bisect perpendicularly each other

=> Side of Rhombus²  = (80/2)² + (60/2)²

=> Side of Rhombus² = 40² + 30²

=>  Side of Rhombus² = 1600 + 900

=> Side of Rhombus² = 2500

=> Side of Rhombus = 50

Area of rhombus  = Side of Rhombus  * perpendicular distance between the opposite sides of a Rhombus

=> 2400 = 50 * perpendicular distance between the opposite sides of a Rhombus

=> perpendicular distance between the opposite sides of a Rhombus = 48 cm

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Hope it helps you, dear!

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