What is the length of the side of a square whose diagonal is 15?

Solution:

A square is a closed two-dimensional figure with four sides and four corners.

As we're working with a square, all side lengths are equal. Moreover, the angles B and D are equal to 90 degrees, allowing us to find the value of a using the Pythagoras Theorem.

i.e, a² + b² = c²

Consider triangle ABC. Applying pythagoras theorem we get,

a² + a² = d² 

⇒ 2a² = 15²  (Since, d = 15)

⇒ a² = 112.5

⇒ a = √112.5

⇒ a ≈ 10.6 units

Thus, the side length measures approximately 10.6 units. 

What is the length of the side of a square whose diagonal is 15?

Summary:

The side length of a square whose diagonal is 15 units is equal to 10.6 units