Math, asked by Rutikapm, 9 months ago

find the ratios of the diagonal of a square to its side, if the length of side is 7 cm​

Answers

Answered by Anonymous
6

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!!☺

Answered by Amy246
0

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

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