Final answer:
To find the side of a square whose diagonal is given as 15√2 cm, use the Pythagorean theorem.
Step-by-step explanation:
To find the side of a square whose diagonal is given as 15√2 cm, we can use the Pythagorean theorem.
Let x be the side length of the square.
According to the Pythagorean theorem, the sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse.
In this case, the hypotenuse is the diagonal of the square, which is 15√2 cm.
Using the Pythagorean theorem, we have:
x2 + x2 = (15√2)2
2x2 = 450
x2 = 225
x = √225
x = 15
Therefore, the side of the square is 15 cm.