If the triangle is acute, the possible value for the area of the square on the remaining side is 81 inch².
For the triangle to be acute, then the area of both the smaller squares need to be able to be larger than the area of the longer side square when added.
This means that if the triangle is acute, the minimum area of the smaller side is:
= 100 - 36 + 1
= 65 inch²
Of the options, the only area larger than 65 inch² is 81 inch².
Options for this question include:
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