What transformation has occurred
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In a triangle ,shortest leg is located in the coordinate plane at B (-2,4) and C(-6,0).
Distance between two points in two dimensional plane is given by =
BC=
= 4 × 1.414
= 5.656
Let A (p,q), be the Third vertex of ΔA BC.There will be no single point. We can find the locus of point A.
Equation of line BC is :
So,the third point that is Locus of point A ,will be no point lying on the line, →y= x +6.
Also, A Triangle is formed, when
Sum of two sides of triangle is greater than third side.
So,third point A will be such that,
1. AB +AC> BC
2. AB +BC> AC
3. AC +BC> AB