Question

Find the side of square, if its diagonal is 10 root 2 cm

Answer 1

Answer:

The answer = 100cm, Hope this helps you , and don't forget to mark this as the brainliest if it helps you !

Step-by-step explanation:

If the diagonal = AB

then it forms a right- angled triangle,

so using pythagreas theorum,

AB² = AC² + BC²

(10√2)² = AC² + BC²

100 x 2 = AC² + BC²

200 = AC² + BC²

200 = 10² + 10²      [∵ AB = BC, in a square]

200 = 100 + 100

200 = 200

∴ One side of the square = 100cm