Question

Why can’t you construct a triangle abc if angle A=60 degrees, AB=6cm and AC+BC=5cm but construction is possible if angleA=60degrees,AB=6cm and AC-BC=5cm

Answer 1

votes

answered Mar 13, 2016 by kev Basic (41 points)

 

Triangle inequality states that.....sum of any two sides of a triangle is greater than the 3rd side......&.......difference of any 2 sides of a triangle is smaller than the 3rd side

therefore,

in  first case:sum of two sides(AC+BC)is not greater than the third side(AB){AB + BC<AB}

in second case:difference between two side(AC-BC)is lesser than the third side(AB){AB - BC<AB)

so,in first case construction is not possible but it is possible in second case.....