Mathematics

In the following figure; AB is the largest side and BC is the smallest side of triangle ABC.

In the following figure; AB is the largest side and BC is the smallest side of triangle ABC. Inequalities, Concise Mathematics Solutions ICSE Class 9.

Write the angles x°, y° and z° in ascending order of their values.

Triangles

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Answer

Given,

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

∴ AB > AC > BC

⇒ ∠C > ∠B > ∠A (If two sides of a triangle are unequal, the greater side has the greater angle opposite to it.)

⇒ 180° - ∠C < 180° - ∠B < 180° - ∠A

⇒ z° < y° < x°.

Hence, z° < y° < x°.

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