SOLUTION: Please help me write a word problem, and solve it using the following words: area, angle, 17, less than

Question 475473: Please help me write a word problem, and solve it using the following words:
area, angle, 17, less than

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Sample problem:

Triangle ABC has sides AB = 8, BC = 15, AC = 17. The angle bisector of C meets AB at point D. Show that the area of CBD is less than the area of CDA.

Sample solution:

Construct the triangle:

Because CD is an angle bisector, we can say that

, the heights of both triangles are the same, so the area of CBD is less than the area of CDA.
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