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State true or false.

In a $Δ A B C, ∠ B > ∠ C$ . Then $A B$ is longer than $A C$ .

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True

False

answer is B.

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Detailed Solution

It is given that in

Δ A B C, ∠ B > ∠ C

.
Draw a triangle

Δ A B C, ∠ B > ∠ C

From the theorem, in a triangle, the side opposite to a greater angle is longer.
The side opposite to angle

B

A C

.
The side opposite of angle

C

A B

.
Since angle

is larger than angle

is longer than

.
Hence the statement is false.
The cosrrect statement is for a triangle ABC, if

∠ B > ∠ C

, then AC is longer than AB.
Therefore option 2 is correct.

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