Question

That is the area of a square
in which the sum of the
quares of the lengths of th
four sides plus the sum of
he square of the lengths of
both diagonals is 400?



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Answer 1

Explicación paso a paso:

A square has sides of 12. What is the length of the diagonal of this square?

Possible Answers:

288

122–√

62–√

144

12

Correct answer:

122–√

Explanation:

To find the diagonal of the square, we effectively cut the square into two 45∘:45∘:90∘ triangles.

The pattern for the sides of a 45∘:45∘:90∘ is x:x:x2–√.

Since two sides are equal to 12, this triangle will have sides of 12:12:122–√.

Therefore, the diagonal (the hypotenuse) will have a length of 122–√.