For the given measures of three sides of a triangle or three angles of a triangle, which among the following do not represent a triangle? (a) 5 cm, 4 cm, 2 cm (b) 1 cm, 2 cm, 3 cm (c) 8 cm, 15 cm, 17 cm (d) 30°, 40°, 110° (e) 110°, 50°, 60° (f) 70°, 65°, 45°
step by step explanation for each (a,b,c,d,e,f)
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Answer:
b) 1 cm, 2 cm, 3 cm.
Step-by-step explanation:
For a triangle to form, summation of the two smallest sides must be greater than the biggest side.
Only in case of option b, the two smallest sides i.e., 1cm and 2cm add up to give 3cm which is equal to the biggest side and not greater. So a triangle cannot form.
All the other options do form a triangle.
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