Square BCFE is inscribed in right triangle AGD, as shown below. If AB = 28 units and CD = 68 units, what is the area of square BCFE?

Square BCFE is inscribed in the right triangle AGD, as shown below. If AB = 28 units and CD = 68 units, what is the area of square BCFE?

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∠ABE ~ ∠CDF

x / 28 = 68 / x

x^{2} = 1904

[BCFE] = 1904 u^{2}

Oops! I didn't mean that...

I meant that ΔABE ~ ΔCDF