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Classification of Triangles Based on Angles

An obtuse tri...

Question

An obtuse triangle will have one and only one _______ angle.

A

acute

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B

obtuse

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C

scalene

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D

right angled

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Solution

The correct option is C obtuse
An obtuse triangle will have one and only one obtuse angle, because the sum of angles of a triangle is $180^{o}$ .
If there are two obtuse angles or an obtuse and a right angle the sum will exceed $180^{o}$ .

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Q. A triangle having one obtuse angle and two acute angles is called a /an __________ triangle.

Q. Can a triangle have one obtuse and one right angle?

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Q. Which of the following statements are true (T) and which are false (F):

(i) Sum of the three angles of a triangle is 180°.

(ii) A triangle can have two right angles.

(iii) All the angles of a triangle can be less than 60°

(iv) All the angles of a triangle can be greater than 60°.

(v) All the angles of a triangle can be equal to 60°.

(vi) A triangle can have two obtuse angles.

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

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

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