6
QuizMultiple Choice

Quadrilaterals and Coordinate Algebra — Test

Question 6 • Geometry

Given cap e cap g is equal to 16 and cap f cap h is equal to 12 , what is the length of one side of the rhombus?

Answer
A
14 units
B
6 units
C
8 units
D
10 units

Explanation

The diagonals of a rhombus bisect each other at right angles, so their half-lengths are 16 ÷ 2 = 8 and 12 ÷ 2 = 6. These form the legs of a right triangle whose hypotenuse is one side of the rhombus. Using the Pythagorean theorem, the side length is √(8² + 6²) = √100 = 10 units, so the correct choice is 10 units.

AI-written and checked against the verified answer.

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