2.Find the side and perimeter of square whose diagonal is `12cm`.
Answers
Step-by-step explanation:
diagonal =√2 *side
side =diagonal /√2=12/√2 cm=12*√2/√2*√2
=12*√2/2=6√2cm
perimeter of square =4*side=4*6√2=24√2cm
√
Step-by-step explanation:
Given :-
Diagonal of a square = 12 cm
To find :-
Find the side and perimeter of square ?
Solution :-
Given that
Diagonal of a square = 12 cm
We know that
The length of a diagonal of a squre whose side a units is √2 a units
=> √2 a = 12
=> a = 12/√2
=> a = 6×√2×√2/√2
=> a = 6√2 cm
The side of the square = 6√2 cm
We know that
Perimeter of a square = 4a units
Perimeter of the given square
= 4×6√2 cm
=> P = 24√2 cm
Therefore, Perimeter = 24√2 cm
Answer :-
The side of the given square = 6√2 cm
The perimeter of the given square = 24√2 cm
Used formulae:-
→ Perimeter of a square = 4a units
→ The length of a diagonal of a squre whose side a units is √2 a units