Question

find the ratio of the area of a square to that of the square drawn on its diagonal

Answer 1

Answer:

ratio of the area of square to that of the square drawn on its diagonal is 1:2

Step-by-step explanation:

Let, the length of edge of square is a cm

Then, area of the square is a^2 cm^2

Length of diagonal of the square is (a×√2) cm

Now the length of edge of the square which is drawn on diagonal is (a×√2) cm

Then the area of the square on diagonal is (a×√2)^2 cm^2 = 2a^2 cm^2

ratio of the area of square to that of the square drawn on its diagonal is a^2 : 2a^2 i. e. 1:2