An obtuse-angled triangle is one in which all the angles are less than $90^{\circ}$ .

True

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False

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Solution

The correct option is B False
An acute triangle is a triangle with all three angles acute [less than $90^{\circ}$ ]. An obtuse triangle is one with one obtuse angle [greater than $90^{\circ}$ ] and two acute angles. Since, the sum of the angles of a triangle is $180^{\circ}$ , no triangle can have more than one obtuse angle.

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Similar questions

An obtuse-angled triangle is one in which all the angles are less than 90°. State true or false.

90^{\circ}

90^{\circ}

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.

A triangle whose all angles are less than $90^{\circ}$ is called a/an ________ triangle.

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