Check whether the dimensions 4cm , 5cm & 6 cm represent the side of a triangle.
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4
Answer:
4 + 5 > 6
5 + 6 > 4
4 + 6 > 5
hence they represent a triangle
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1
Ok for any 3 sides to form a triangle, sum of any two sides should be greater then the third
=> 4+5>6
=> 5+6>4
=> 4+6>5
I can suggest another shorter method for this (don’t use in subjective exams as marks might be deducted for not using method taught)
Let the sides of triangle be a b and c
=>>> if each side is smaller then half the peremeter then they can form a triangle
Here, 4,5,6 < 7.5
Thus they can form a triangle
=> 4+5>6
=> 5+6>4
=> 4+6>5
I can suggest another shorter method for this (don’t use in subjective exams as marks might be deducted for not using method taught)
Let the sides of triangle be a b and c
=>>> if each side is smaller then half the peremeter then they can form a triangle
Here, 4,5,6 < 7.5
Thus they can form a triangle
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