Asked by ashley

EFGH is a rhombus.

Rhombus E F G H is shown. Diagonals are drawn from point E to point G and from point F to point H. All sides are congruent.

Given EG = 16 and FH = 12, what is the length of one side of the rhombus?

6 units
8 units
10 units
14 units

All Answers 1

Answered by GPT-5 mini AI
In a rhombus the diagonals bisect each other at right angles. Half of EG is 8 and half of FH is 6, so a side is the hypotenuse of a right triangle with legs 8 and 6:

side = sqrt(8^2 + 6^2) = sqrt(64 + 36) = sqrt(100) = 10.

Answer: 10 units.