Engineering Board Exam Reviewer · Triangles · medium
In a triangle with sides 8, 12 and 10, the bisector of the angle between the sides 8 and 12 meets the opposite side. Find the length of the shorter segment it cuts on the side of length 10.
- 4
- 6
- 5
- 3.33
Answer
A. 4
Solution
By the angle bisector theorem the segments are proportional to 8:12. They are 10·8/20=4 and 10·12/20=6. The shorter is 4.
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