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In the Following Figure; Ab is the Largest Side and Bc is the Smallest Side of Triangle Abc. Write the Angles Xo, Yo And Zo In Ascending Order of Their Values.

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Question

In the following figure; AB is the largest side and BC is the smallest side of triangle ABC.
Write the angles xo, yo and zo in ascending order of their values.

Sum
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Solution

Given: AB is the largest side and BC is the smallest side of the triangle ABC.

To prove: Arrange xo, yo and zo is ascending order

Proof: AB > AC > BC

Then, 180° - z° > 180° - y° > 180° - x°

⇒ - z° > -y° > - x°

⇒ z° < y° < x°.

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Inequalities in a Triangle - Of All the Lines, that Can Be Drawn to a Given Straight Line from a Given Point Outside It, the Perpendicular is the Shortest.
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