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Pythagoras Theorem

State which o...

Question

State which of the following statements are true and which are false :
A triangle cannot have more than one obtuse angle.

A

True

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B

False

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Solution

The correct option is A True
Since the sum of all the angles of a triangle is $180 °$ , and if we have more than one obtuse angles in a triangle then the sum of all the angles of the triangle will be greater than $180 °$
Hence, the statement is true.

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Similar questions

State whether the statements are true or false.

a) A triangle may have two obtuse angles.

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.

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

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

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

(xi) An exterior angle of a triangle is equal to the sum of the two interior opposite angles.

Q. Question 123
State whether the statements are True or False.
A quadrilateral can have all four angles as obtuse.

Question 43

State whether the statements are true or false:

A right angled triangle can have atmost one line of symmetry.

State which of the following statements are true and which are false :

A triangle can have two right angles

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