Question

For the rhombus ABCD, diagonal BD = 18 and diagonal AC = 24. What is the side length of the rhombus? A) 15 2 B) 21 2 C) 15 D) 21

Answer 1

15

Explanation:

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Answer 2

The diagonals are perpendicular to each other.
The right triangle has half of each diagonal as sides, so the hypotenuse or side length is Sqrt(9^2 + 12^2) = 15.
Hint: a 3,4,5 sided triangle is the smallest integer right triangle. Doubling or tripling, etc. is still a right triangle. So when I saw the 9,12, I knew that 15 was the hypotenuse.