Given the Triangle ABC and the point M inside the triangle (M don't belong on any sides of triangle).let I be the intersection point of the line BM and the side AC
a, compare MA to MI+MB,then prove that MA +MB<IB+IA
b, compare IB to IC+CB, then prove that IB+IA<CA+CB
c, Demonstrate the inequality MA+MB<CA+CB
Given the Triangle ABC and the point M inside the triangle (M don't belong on any sides of triangle).let I be the intersection point of the line BM and the side AC
a, compare MA to MI+MB,then prove that MA +MB<IB+IA
b, compare IB to IC+CB, then prove that IB+IA<CA+CB
c, Demonstrate the inequality MA+MB<CA+CB
Can you help me solve this problem?
EXERCISE 2: Let ABC be a triangle with p/g of angles B and C intersecting at I. The exterior bisector of two angles B and C intersect at prove that the three points A,I,H are collinear
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