Question

find the diagonal of a square whose side is 10 cm and the answer should be 10root2

Answer 1

Answer:

Diagonal of a square = 10root2

Step-by-step explanation:

Given side of square = 10 cm

In square, all four sides are of same length, such that diagonal of square divides the square into two equal right triangles and diagonal becomes the hypotenuse of right triangle

Using Pythagoras theorm

Side^2 + Base^2 = Hypotenuse ^2

10^2 + 10^2 = Diagonal^2

Thus,

Diagonal^2 = 100 + 100

Diagonal^2 = 200

Diagonal = root200

Diagonal = 10root2

Answer 2

Step-by-step explanation:

diagonal of square= root under ten square plus ten square

=√200

=✓2*10*10

=10✓2