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Triangle Inequality 2

ABC is a tria...

Question

ABC is a triangle such that $A B = 10 c m$ and $A C = 3 c m$ . The side BC is

A

BC < 13 cm

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B

BC < 7 cm

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C

BC > 13 cm

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D

BC = 13 cm

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Solution

The correct option is A BC < 13 cm
We know that sum of two sides is always greater than the third side.
AB + AC > BC,
since $A C$ = 3 cm and $A B$ = 10 cm
that means $B C$ < 13 cm

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