The area of a rhombus is 144 square inches. One of its diagonals is 32 inches. What is the length of the missing diagonal, d?
Options
A
9 inches
B
10 inches
C
11 inches
D
12 inches
Answer & Analysis
Answer
A
Analysis
Question Analysis
The main focus is on using the area formula for a rhombus to find the length of the 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. Rearranging this formula gives , which allows us to solve for the missing diagonal when and are known.
Step - by - Step Solution
1. Identify the known values: We have square inches and
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