We can draw a triangle ABC in which BC is 12cm, ∠ B is 75 ∘ and AB + AC = 6.5 cm . Options: A . &nbsp True B . &nbsp False C . &nbsp Data insufficient D . &nbsp Cannot be determined

We can draw a triangle ABC in which BC is 12cm, ∠B is 75∘ a

Question

We can draw a triangle ABC in which BC is 12cm, $∠ B$ is $75^{\circ}$ and AB + AC = 6.5 cm.

Options:

A . True

B . False

C . Data insufficient

D . Cannot be determined

Answer: Option B
:
B

We know that sum of the length of any two sides of a triangle must be greater than the length of the third side, but the condition in this question defies this law. So the given triangle can not be formed.

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