Question

5. In figure of Q.3, PQR is a triangle and S is
any point in its interior.
Show that SQ+SR <PQ+ PR.
(Hint. Produce QS which intersects PR at
point T on producing.)

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Answer 1

Answer:

Step-by-step explanation:

Produce QS meet PR at T

In triangle PQT

PQ+PT>QT

QT=QS+ST

PQ + PT>QS+ST  )

In triangle STR

TR+ST>RS(2)

Adding equation (1) and (2)

PQ+PT+TR+ST>QS+ST+RS

PQ+PR+ST>QS+ST+RS

PQ+PR>QS+RS