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Standard VI

Mathematics

Classification of Triangles Based on Sides

Which of the ...

Question

Which of the following statements are true $(T)$ and which are false $(F)$

$i v)$ All the angles of a triangle can be greater than $60^{\circ}$

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Solution

Statement: All the angles of a triangle can be greater than $60^{\circ}$

If all the angles of a triangle is more than $60^{\circ}$ than their sum is also more than $180^{\circ}$ which is not possible.

Hence the statement is False.

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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.

Which of the following statements are not correct?

a) The sum of any two sides of a triangle is greater than the third side.
b) A triangle can have all its angles acute.
c) A right-angled triangle cannot be equilateral.
d) The difference of any two sides of a triangle is greater than the third side.

Q. Which of the following statements are true

(T)

and which are false

(F)

i i i)

All the angles of a triangle can be less than

60^{\circ}

Q. Which of the following statements are true

(T)

and which are false

(F)

i i)

A triangle can have two right angles

Q. Which of the following statements are true

(T)

and which are false

(F)

xi)

An exterior angle of a triangle is greater than opposite interior angles.

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Classification of Triangles Based on Sides

Standard VI Mathematics

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Which of the following statements are true(T) and which are false(F) iv) All the angles of a triangle can be greater than 60∘

Statement: All the angles of a triangle can be greater than 60∘ If all the angles of a triangle is more than 60∘ than their sum is also more than 180∘ which is not possible. Hence the statement is False.

Which of the following statements are true $(T)$ and which are false $(F)$

$i v)$ All the angles of a triangle can be greater than $60^{\circ}$

Statement: All the angles of a triangle can be greater than $60^{\circ}$

If all the angles of a triangle is more than $60^{\circ}$ than their sum is also more than $180^{\circ}$ which is not possible.

Hence the statement is False.