Question

The length of a side of a square is 25. find the length of the diagonal of the square

Answer 1

35.35 cm

Explanation:

`Side = 25 cm\\\\Diagonal = ?\\`

Look at the image ; notice we have a right angle triangle ?

So , we can derive :

Hypotenuse = ?

Opposite = 25

Adjacent = 25

`Pythagoras \:Theorem ;\\Hypotenuse^2 =Opposite^2+Adjacent^2 \\\\x^2 = 25^2 +25^2\\x^2 = 625+625\\\\x = √(1250)\\ \\\\x = diagonal = 25√(2) \\= 35.35`