Question

प्रूफ दैट प्रूफ दैट द सम ऑफ एनी टू साइड ऑफ़ ट्रायंगल इज ग्रेटर दैन द थर्ड साइड​

Answer 1

Answer:

∠ABD>∠CDB. Hence we have AD>AB( because the side opposite to a larger angle is longer). AD = AC+BC. Hence the sum of two sides of a triangle is larger than the third side.

hope it helps you.

Answer 2

Answer:

Extend QP to A,

Such that, PA = PR

→ <PAR = < PRA

Since, By the diagram,

=> <ARQ> Z PRA

→ <ARQ > <PAR

→ QA > PQ (Because, the sides opposite to larger angle is larger and the sides opposite to smaller angle is smaller )

→ QP + PA > QR

→QP + PR > QR.

Hence, prove,

Note: similarly we can proved, QP + QR > PR or PR + QR > QP

Thus, The sum of two sides of a triangle is greater than the third side.