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QUESTION IMAGE

a e 8 11 f d 9 △efd only b h 4.5 4.5 6 g △gih only c both d neither

Question

a e 8 11 f d 9 △efd only b h 4.5 4.5 6 g △gih only c both d neither

Explanation:

Step1: Check triangle inequality for \(\triangle EFD\)

Triangle inequality: sum of two sides > third side.
\(8 + 9>11\) (\(17>11\)), \(8 + 11>9\) (\(19>9\)), \(9+11>8\) (\(20>8\)).

Step2: Check triangle inequality for \(\triangle GIH\)

\(4.5+4.5 = 9>6\), \(4.5 + 6=10.5>4.5\), \(4.5+6 = 10.5>4.5\).

Answer:

C. Both