5.1.2 Medians, Altitudes, and Midsegments in Triangles − Worksheet
Example 1: Use △ ACD for Exercises 1-3. 1. If BD is a median of △ ACD and AC = 10, what is AB ?
A
B
D
C
2. If AB = 2 x and BC = 3 x − 6 and x = 6, explain why BD is a median of △ ACD .
3. If AB = x + 2 and AC = 3 x − 1 and BD is a median of △ ACD , what is x ?
Example 2: 4. △ DEF has vertices D ( − 4, − 3), E (3, − 4), and F (2, 1). Find the equation of the median through E in slope-intercept form.
Example 3: 5. △ DEF has vertices D ( − 4, − 3), E (3, − 4), and F (2, 1). Find the equation of the altitude through D in slope-intercept form.
Example 4: Find each measure. 6. NM
Y
7. XZ
10.2
5.6
L
M
X
Z
N
29°
8. NZ
9. m ∠ LMN
10. m ∠ YXZ
11. m ∠ XLM
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