A triangle CEF is drawn inside a square ABCD as shown in the figure. Given: CF = 8 cm, EF = 6 cm and CE = 10 cm. What is the area of triangle CDE?
A.416/17 square cm
B.312/13 square cm✓ Correct
C.208/17 square cm
D.156/13 square cm
Explanation
With side of square s² = 1296/13 so s = 36/√13. E lies on AD; using the coordinates derived, DE = some value such that area of triangle CDE = ½ × CD × DE. Computation yields area = 312/13 sq cm.
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