find the ratios of the diagonal of a square to its side, if the length of side is 7 cm
Answers
length of diagonal of a square=√2* length of side of square
ratio of the diagonal of a square to its length would be 7√2:7=√2:1
hope it helps!!☺
Step-by-step explanation:
let the square be abcd.
ac and bd are its diagonals.
in a square,all sides are = and all angles are 90degree.
So we can find length of diagonal by Pythagoras theorom
In triangle abc,ac^2=ab^2+bc^2
ac^2=ab^2+ab^2=2ab^2 [since sides of square are =]
ac^2=2(7)^2(given length of side is 7)
=2(49)=98cm
ac=√98=√7*7*2=7√2cm
Therefore,the rati of its diagonal to side= 7√2/7=√2/1
=√2:1