Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from angle B in triangle ABC
1 answer:
Answer:
8
Step-by-step explanation:
The median is the segment from vertex B to the midpoint of AC. That midpoint (D) is ...
D = (A + C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2
D = (-4, -1)
The length of the midpoint is the length of the segment DB between (-4, -1) and (4, -1). These points both have the same y-coordinate, so the length is the difference of x-coordinates: 4 -(-4) = 8.
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Using pythagorean theorem,
d ≈ 119
The player ran for 119 meters