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.
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