Question

Find the diagonal of a square whose sides are of the given measure.

Given = 7√3

Answer 1

Explanation:

Use the Pythagorean theorem: a^2 + b^2 = c^2. In this case, sides a and b are each 7sqrt(3), and c is the diagonal of the square.

a^2 + b^2 = c^2

(7sqrt3)^2 + (7sqrt3)^2 = c^2

294 = c^2

c = sqrt(294) = 7sqrt(6)