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If Two Angles of a Triangle Are Unequal Then the Side Opposite to the Greater Angle Is Greater Than the Side Opposite to Smaller Angle

In ABC, if AC...

Question

In $△ A B C$ , if AC $>$ AB, then which of the following options are correct?

C B

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C B

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C = B

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None of these

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Solution

The correct option is B
C B

The angle opposite to the larger side is greater than that opposite to the shorter side.

In $△ A B C$ , it is given that AC $>$ AB.
Angle opposite to AC is $∠ B$ and the angle opposite to AB is $∠ C$ .
Therefore, $∠ B$ must be greater than $∠ C$ .

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Similar questions

Question 37

In a right angled $Δ A B C$ , if $∠ B = 90^{\circ}$ , then which of the following is true?

a) $A B^{2} = B C^{2} + A C^{2}$
b) $A C^{2} = A B^{2} + B C^{2}$
c) $A B = B C + A C$
d) $A C = A B + B C$

In $△ A B C$ , if AC $>$ AB, then which of the following options is correct?

In $△ A B C$ , if AC $>$ AB, then which of the following options are correct?

In $△ A B C$ , if AC $>$ AB, then which of the following options is correct?

For a triangle ABC, which of the following is/are true?

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