midpoints of a triangle is D(4,-3) E(3,-2) and F(-3,1) find the vertices of the triangle
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Step-by-step explanation:
be the vertices of the given
, and let D(3, -2), E(-3, 1) and F(4, -3) be the midpoint of BC, CA and AB respectively. <br> D is the midpoint of BC <br>
<br>
<br> E is the midpoint of CA <br>
<br>
<br> F is the midpoint of AB <br>
<br>
<br> Addiing (i), (iii) and (v), we get <br>
<br> Using (i), (iii) and (v) with (vii), we get <br>
<br> Adding (ii), (iv) and (vi), we get <br>
<br> Using (ii), (iv) and (vi) with (viii), we get <br>
<br> Hence, the vertices of
are A(-2, 0), B(10, -6) and C(-4, 2).
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