Engineering Board Exam Reviewer · Solutions to Oblique Triangles · medium

EE Board October 1997: The sides of a triangular lot are 130 m, 180 m and 190 m. The lot is to be divided by a line bisecting the longest side and drawn from the opposite vertex. Find the length of the line.

  1. 120 m
  2. 130 m
  3. 125 m
  4. 128 m

Answer

C. 125 m

Solution

Using the median-length formula for the median to the side of length 190: m= 12sqrt(2(130)2+2(180)2-1902)= 12sqrt(62500)=125 m.

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