Question

What is the answer to n?

Answer 1

Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

Answer 2

In ΔABC , Value of $n= 31$ as per given condition of median of a triangle .

What is median of a triangle?

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of $2:1$ from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

$KC = 108\\\\OC = 2n +10$

Ratio of $KC : OC = 3: 2$

Substitute the value of KC and OC we get,

$108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31$

Hence, in ΔABC , Value of $n= 31$ as per given condition of median of a triangle .

Learn more about median of a triangle here

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