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

Mathematics

1 answer:

Nikitich [7]2 years ago

4 0

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.

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