Question

find the area of a sqare, the length of whose diagonals is 25 cm​

Answer 1

Step-by-step explanation:

Let the side length of the square be x.

Now,

As we now all angles are 90° in a square,

Applying pythagoras theorem

p²+b² = h²

x² + x² = 25² cm²

=> 2x² = 625 cm²

=> x = 25/√2 cm

Area = side² = (25/√2 cm)² = 625/2 cm² = 312.5 cm²