Question

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

Answer 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