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CBSE Class 10 Answered

Find the coordinates of the vertices B and C of a ABC, with A (1,-4) and the mid-point of sides through A being (2,-1) and (0,-1).
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Given, coordinates of A are (1,-4).

Let the coordinates of B and C be (a, b) and (x, y) respectively.

Let the coordinates of mid-point of AB and AC be (2, -1) and (0, -1).

Then, using mid-point formula, we have:

1+a=4, -4+b= -2

a=3, b=2

Also,

1+x=0, -4+y= -2

x= -1, y=2

Therefore, the coordinates of the vertices B and C of ABC are (3, 2) and (-1, 2) respectively.

Answered by | 04 Jun, 2014, 03:23: PM

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