Question

draw Triangle PQR in which PQ = 7cm, QR = 3cm, RP = 4cm. Is the construction of triangle possible?
(HINT= The arcs will touch on the line QR. The base line QR,QP,PR are the collinear.)​

Answer 1

Answer:no construction is not possible

Step-by-step explanation: in a triangle sum of two sides is always greater than the third side but in this triangle QR+RP= PQ so construction is not possible

Answer 2

Answer:

No it is not possible to construct the given triangle.

Because,

Here, 4cm + 3cm = 7cm

Acc. to the triangle property, sum of any 2 sides of a triangle must have to be greater than third side.

But, here we found that sum of 2 sides is equal to the 3rd side.

HENCE, it is not possible to construct this given triangle.