The length of the diagonal of a rhombus
Are 12cm and,16cm find the side of the
Rhombus
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0
Answer:
10 cm
Step-by-step explanation:
- all the sides of rhombus are equal and the diagonals bisect eachother at 90 degree
- so apply pythagoras theorem on a triangle made by half of diagonals with side
- where let x be the side of rhombus solving this we get x =10 cm
Answered by
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Question:-
The lengths of the diagonals of a rhombus are 16cm and 12cm. then find the length of the side of rhombus
Solution:-
we know that diagonal of rhombus,bisect each other in right angle ( 90° ).
we also know that all sides of rhombus are equal ( of equal length ).
so, now
Let rhombus is ABCD
Let, diagonal of rhombus
BD = 16 cm and AC = 12 cm
means,
OD = 8 cm and AO = 6 cm
By pythagorus theorem
To find length of AD ( and all side of rhombus )
=> (AD)² = (OD)² + (AO)²
=> (AD)² = (8)² + (6)²
=> (AD)² = 64 + 36
=> (AD)² = 100
=> AD = √100
=> AD = 10 cm
Hence length of all side of rhombus
is 10 cm.
i hope it helps you.
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