(1) PQR is an equilateral triangle.
seg PS 1 side QR such that Q-S-R.
P
Prove PS2=3QS2 by completing the
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1. Step-by-step explanation:

   Given:- PQR is an equilateral triangle.

   in which PS perpendicular to QR.

   To Proove:-PS^2=3QS^2.

   Proof:-In rt. triangle.PSQ by pythagoras theorem,

   PQ^2=PS^2+QS^2

   QR^2=PS^2+QS^2 (PQ=QR)

   PS^2=(2QS )^2-QS^2 (we can write QR as 2×QS)

   PS^2=4QS^2-QS^2

   PS^2=3QS^2 (hence proved)

   hope you got

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