Question

side of a square is 15cm find it diagonal​

Answer 1

Answer:

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Answer 2

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, 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.