find the side of a square whos diagonal is of 10 cm
Answers
Answered by
9
Answer:
It is given that ABCD is a square.
∴ AB = BC = CD = DA = a (say)
According to Pythagoras theorem, in ∆ABD
AB2+AD2=BD2
⇒a2+a2=102
⇒2a2=100
⇒a2=50
⇒a=50
⇒a=52cm
Hence, the side of the square is 5
2
cm.
Now,
Perimeter of a square =
4×(side)
=
4×a
=
4×52
=
202
cm
Hence, the perimeter of the square is 20
2
cm
Answered by
76
Given
- ABCD is a square
- Diagonal of a square = 10cm
To find
- Side of the square (a)
Solution
In this question, diagonal of a square is given and we have to find the side.
★ Since, all the sides of a square is equal.
•°• AB = BD = DC = AC = a
⠀
Using Pythagoras theorem,
⠀
⠀
⠀
⠀
⠀
⠀
⠀
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