A triangle with all the three angles less than 60- is possible-

The correct option is B False From the angle sum property, sum of all the angles of a triangle =180^∘ If all the three angles are less than 60^∘, their sum can ...

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Byju's Answer

Standard VI

Mathematics

Angle Sum Property

A triangle wi...

Question

A triangle with all the three angles less than $60^{\circ}$ is possible.

True

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False

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Solution

The correct option is B
False

From the angle sum property, sum of all the angles of a triangle $= 180^{\circ}$

If all the three angles are less than $60^{\circ}$ , their sum can't be equal to $180^{\circ}$

So, a triangle with all the three angles less than $60^{\circ}$ is not possible.

Thus, the given statement is false.

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Similar questions

A triangle with all the three angles less than 60 degree is possible.

A triangle with all the three angles less than 60 degree is possible. State true or false.

Q. It is possible to have a triangle in which each angle is less than

60^{o}

I) can a triangle have all angles less than 60 degree explain.

II) can a triangle have all angles equal to 60 degree explain.

Q. Can a triangle have:

(i) Two right angles?

(ii) Two obtuse angles?

(iii) Two acute angles?

(iv) All angles more than 60°?

(v) All angles less than 60°?

(vi) All angles equal to 60°?

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A triangle with all the three angles less than 60∘ is possible.

The correct option is B False From the angle sum property, sum of all the angles of a triangle =180∘ If all the three angles are less than 60∘, their sum can't be equal to 180∘ So, a triangle with all the three angles less than 60∘ is not possible. Thus, the given statement is false.

A triangle with all the three angles less than $60^{\circ}$ is possible.