if the side of square is 12 cm then what is it's diagonal
Answers
Answered by
8
Answer:
Let ABCD be the square and AC be the diagonal as shown in the above figure:
It is given that AB=BC=CD=DA=12 cm
In △ABC, ∠B=90°
According to the pythagoras theorem
AC² =AB² +BC²
⇒AC² =12²+12²
⇒AC²=144+144
⇒AC²=288
⇒AC= √288
⇒AC=√12²×2
⇒AC=√12²
Hence, the length of the diagonal is AC=√12²cm.
Step-by-step explanation:
rapunzel4056:
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Answered by
3
Answer:
16.968 m
Step-by-step explanation:
let the side of square be a =12,
then the formula of diagonal of square =√a²+a²
=a*√2
then, =12*√2
=12*1.414(decimal value of √2)
answer=16.968 m
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