can u construct a triangle with sides 12 cm 8.5 cm 2.7 cm give reasons
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12+8.5>2.7
12+2.7>8.5
8.5+2.7<12.5
as sum of two sides is not greater than the third side in all three cases, a triangle is not possible with the given sides
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1
according to the theorem of inequalities, sum of two sides of a ∆ must be greater than third side to form a ∆. here, 8.5+2.7=11.2which is smaller than third side 12. therefore ∆ with sides 12cm,8.5cm and2.7cm is not possible
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