Question

In the adjoining figure , If Seg PR ≅ Seg PQ, Show that Seg PS > Seg PQ.​

Answer 1

In APRS, ZPRS is an obtuse angle.

Since, a traingle can have maximum one

obtuse angle.

Hence, ZPRS is the greatest angle.

Therefore, the side opposite to ZPRS i.e., PS is

the longest side.

Now, seg PS > seg PR > seg RS

.. seg PS > seg PQ .. [seg PR seg PQ]