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The diagram below contains four right triangles with legs a

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The diagram below contains four right triangles with legs a

by Max@Math Revolution » Thu Mar 28, 2019 11:09 pm

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[GMAT math practice question]

The diagram below contains four right triangles with legs a and b. What is the area of the larger square?

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1) a = 12
2) b = 9
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Source: — Data Sufficiency |
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by Max@Math Revolution » Sun Mar 31, 2019 5:26 pm

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Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.

If we assume c is the length of the hypotenuse of the right triangle, we have c^2 = a^2 + b^2 and c^2 is the area the larger square.
We need the values of both a and b. Thus, conditions 1) & 2) are sufficient, when applied together, but neither condition is sufficient on its own.

Therefore, C is the answer.
Answer: C
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