Explain the following terms:
(i) Triangle

(ii) Parts or elements of a triangle

(iii) Interior of a triangle

(iv) Exterior of a triangle

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Solution

(i) A triangle is a plane figure formed by three non-parallel line segments.
(ii) The three sides and the three angles of a triangle are together known as the parts or elements of that triangle.
(iii) The interior of a triangle is made up of all such points that are enclosed within the triangle.
(iv) The exterior of a triangle is made up of all such points that are not enclosed within the triangle.

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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.

Take any point $O$ in the interior of a triangle $P Q R$ .

$(i) O P + O Q > P Q$ ?

$(i i) O Q + O R > Q R$ ?

$(i i i) O R + O P > R P$ ?

The exterior angle of a triangle is equal to the sum of all the interior angles of the triangle. State whether true or false.

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