Question

find the length of the hypotenuse of a square whose side is 16cm​

Answer 1

Answer:

22.63 cm will be length of diagonal (hypotenuse) of square

Answer 2

Answer:

The diagonal is of length $16\sqrt2$ cms.

Step-by-step explanation:

According to Pythagoras theorem, In a right angled triangle of sides a and b and hypotenuse c, There exists a relation between the side which is given by-

$a^2+b^2=c^2$

A square is a join of two right triangles where a = b. Hence, the diagonal of the square is the hypotenuse of an isosceles right triangle with sides 's'

Hence, according to Pythagoras theorem,

$s^2+s^2=h^2$

$2s^2=h^2$

$h=\sqrt{2s^2}$

$h=s\sqrt2$

Now, according to the question, s is 16.

Hence the hypotenuse will be $s\sqrt2$ or $16\sqrt2$ centimetres.

Hope it helps.