# 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, 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

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

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