Given The Triangle A (10, 4), B(–4, 9), C(–2, 1), Find The Equation Of Median Through B.

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Question

Given the triangle A (10, 4), B(–4, 9), C(–2, 1), find the equation of median through B.

Solution

Correct option is

13x + 16y = 92

Let E is the mid-point of AC.  

Equation of median through B (–4, 9) and E (4, 5/2) using:

           

          (x1y1) ≡ B (–4, 9) and (x2y2) ≡ (4, 5/2)  

Substituting the values of (x1y1) and (x2y2) in (i), we get:

               

Simplify to get: 13x + 16y = 92 is the required equation.

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