Question

find the side square whose diagonal is 9√2cm.​

Answer 1

Answer:

Step-by-step explanation:

ok so Here it goes

diagonal of a square can be considered a the hypotenuse of 2 triangles in it

so we take any one of the two triangles and use pythagoras theorem

let the side of square be x

By pythagoras theorem

side² + side² = Hypotenuse²

⇒ x² + x² = (9√2)²

⇒2x² =  81 ×2

⇒ x² = 81 ( reducing 2 from both sides)

⇒ x = √81

x = ±9

So the side of square = ±9

But

Length cannot be negative so

SIDE OF SQUARE = 9 cm

PLS MARK AS BRAINLIEST IF THIS HELPED YOU

Answer 2

Answer:

diagonal=9√2

√3a=9√2

a=9√2/√3