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

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

## Answer: The side length of a square whose diagonal is 15 units is equal to 10.6 units.

We will make use of the concept of the Pythagoras Theorem to find the value.

**Explanation:**

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, a^{2} + b^{2} = c^{2}

Consider triangle ABC. Applying pythagoras theorem we get,

a^{2} + a^{2} = d^{2 }

⇒ 2a^{2} = 15^{2} (Since, d = 15)

⇒ a^{2} = 112.5

⇒ a = √112.5

⇒ a ≈ 10.6 units