Question

in triangle abc m is the midpoint of bc. If AB=10,AC=12 and AM=9,then find the length of BC?​

Answer 1

Answer:

: 2

Step-by-step explanation:

M is the mid point of BC.

⇒AM is the median of ΔABC,

G is the centroid of ΔABC.

⇒G divides AM in the ratio 2:1

⇒AG:GM=2:1

Given, AM=9

Let AG=x

Then GM=(9−x)

x:(9−x)=2:1

⇒

9−x

x

=

1

2

⇒x=2(9−x)

⇒x=18−2x

⇒3x=18

⇒x=6

∴GM=9−6=3

Now, GN=GM−NM=3−1=2

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