1961 AHSME Problems/Problem 14
Problem
A rhombus is given with one diagonal twice the length of the other diagonal. Express the side of the rhombus is terms of , where is the area of the rhombus in square inches.
Solution
Let one of the diagonals of the rhombus be units long, so the other diagonal is units long. That means the area of the rhombus is , so .
From the Pythagorean Theorem, one of the side lengths of the rhombus is , so the answer is .
See Also
1961 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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