Square $BCFE$ is inscribed in right triangle $AGD$, as shown below. If $AB = 28$ units and $CD = 58$ units, what is the area of
square $BCFE$?
1 answer:
Answer:
1624 units²
Step-by-step explanation:
See attachment for the figure
As, ∠EAB = ∠CFD
and ∠ABE = ∠FCD
We can say that by AA congruency, ΔCFD is similar to ΔBAE
Therefore, BA / EB = CF / DC
BA x DC = EB x CF (since EB = CF )
BA x DC = EB²
28 x 58 = EB² => area of square BCFE
area of square BCFE = 1624 units²
Therefore, the area of square BCFE is 1624 units²
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