Geometry

Question Analysis

The main focus is on using the area formula for a rhombus to determine the length of an unknown diagonal, given the area of the rhombus and the length of one diagonal.

Key Concept Explanation

The area  of a rhombus (also applicable to a kite) is calculated by the formula , where  and  are the lengths of the two diagonals. By rearranging this formula, we get  (or ),  which allows us to find the length of a missing diagonal when the area and the other diagonal's length are known.

Step - by - Step Solution

1. Identify the known values:

We know that  square centimeters and

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