# Take any point O in the interior of a triangle PQR. Is

(i) OP + OQ > PQ?

(ii) OQ + OR > QR?

(iii) OR + OP > RP?

**Solution:**

If “O” is a point in the interior of a given triangle, then the three triangles can be constructed.

You must join all the three vertices of a triangle with the center “O”.

This question is based on a property that in a triangle the sum of lengths of any two sides is always greater than the third side.

Yes, POQ forms a triangle

Yes, OQR forms a triangle.

Yes, ORP forms a triangle.

**Video Solution:**

## Take any point O in the interior of a triangle PQR. Is (i) OP + OQ > PQ? (ii) OQ + OR > QR? (iii) OR + OP > RP?

### NCERT Solutions for Class 7 Maths - Chapter 6 Exercise 6.4 Question 2

Take any point O in the interior of a triangle PQR. Is (i) OP + OQ > PQ? (ii) OQ + OR > QR? (iii) OR + OP > RP?

(i)Yes, POQ forms a triangle, (ii)Yes, OQR forms a triangle,(iii)Yes, ORP forms a triangle