Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from A) 4 b) square Root of 18

Question

Sati [7]

3 years ago

14

Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from A) 4 b) square Root of 18

C) 8
D) Square root of 68

Mathematics

1 answer:

igomit [66] · Answer 1 · 2022-03-14T19:11:01+03:00

We know that
the median<span> is the segment that joins each vertex with the midpoint of the opposite side</span>

using a graph tool
see the attached figure

Step 1
Find the midpoint segment BC
<span>B(4, –1), and C(–2, –9)
</span>
Xm=(4-2)/2=1
Ym=(-1-9)/2=-5
the midpoint BC is (1,-5)

the length of median is the distance point A(-6,7) and midpoint BC (1,-5)
d=√(12²+7²)=√193=13.89 units

the answer is 13.89 units