The side opposite to an obtuse angle of a triangle is

Smallest

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Greatest

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Half of the perimeter

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None of these

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Solution

The correct option is B Greatest
Angles between $90^{o}$ and $180^{o}$ are obtuse angles.
Since, sum of angles in a triangle $= 180^{o}$
If one angle is obtuse, it will be the greatest angle as the other two angles will be acute angles such that the sum of the interior angles is $180^{o} .$
The angles opposite to the sides will also have the same relation.
Hence, the side opposite to the obtuse angle will be the greatest side of the triangle.

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Similar questions

Which of the following statements are true (T) and which are fales (F):

(i) Sum of the three angles of a triangle is $180^{\circ}$ .

(ii) A triangle can have two right angles .

(iii) All the angles of a triangle can be less than $60^{\circ}$ .

(iv) All the angles of a triangle can be greater than $60^{\circ}$ .

(v) All the angles of a triangle can be equal to $60^{\circ}$ .

(vi) A triangle can have two obtuse angles .

(vii) A triangle can have at most one obtuse angle.

(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

(ix) An exterior angle of a triangle is less than either of its interior opposite angles.

(x) An exerior angle of triangle is equal to the sum of the two interior opposite angles.

(xi) An exterior angle of a triangle is greater than the opposite interior angles.

If two sides of a triangle are equal, the angles opposite to these sides are

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