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☆ Question ☆
Diagonals of a rhombus are 20 and 21 cm respectively, then find the sides of rhombus and its perimeter.
☆ Solution ☆
Given :-
- Diagonals of a rhombus are 20 and 21 cm respectively.
To Find :-
- The sides and perimeter of rhombus.
Step-by-Step-Explaination :-
As we know that :-
Diagonals of the rhombus bisect each other at 90°.
By using Pythagoras theorem :-
Side² = 10² + 10.5²
Side² = 100 + 100.25
Side² = 210.25
Side = 14.5
Hence,
The side of rhombus is 14.5 cm
Now,
As we know that :-
Perimeter of rhombus = 4 × sides
Putting the respective value,
Perimeter of rectangle = 4 × 14.5
Perimeter of rectangle = 58
Hence,
The perimeter of rectangle = 58 cm
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