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This is a Trigonometry question.

a)

17^2 = 289

15^2 + 8^2 = 289

By converse of Pythagorus Theorem, ABC is a right angle triangle.

b)

DC^2 = 20^2 + 8^2

DC = 21.5

c)

1/2 × 5 × 8 = 20

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