Question

A square has a diagonal with the length of 8V7 inches. What is the length of the sides?

Answer 1

Answer:

approximately 13.9 inches

Step-by-step explanation:

That's 8√6, not 8V7.

The four sides are of the same length (x).  According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or

2x² = 64(6) = 384

Dividing both sides by 2, we get:

x² = 192, or x² = 4(48).  Then the side length is x = √16√12, or

x = 4√4√3 = 8√3.  This is approximately 13.9 inches.