9514 1404 393
Answer:
12. median: AD; altitude: CE; midsegment: none
13. x = 2
Explanation:
12. The median joins a vertex with the midpoint of the opposite side. Point D is identified as the midpoint of BC, so AD is the median.
An altitude is a segment from a vertex that is perpendicular to the opposite side. CE is an altitude of this triangle.
A midsegment joins midpoints of adjacent sides of the triangle. Only one midpoint (D) is identified in this triangle, so no midsegment can be named.
Additional comment: BF is an angle bisector. Perhaps that is what is intended in part (c). You may want to report this question to your teacher.
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13. The base segment is twice the length of the midsegment:
2(5x -3) = x +12
10x -6 = x +12 . . . . . eliminate parentheses
9x = 18 . . . . . . . . . . add 6-x
x = 2 . . . . . . . . . . . . .divide by 9