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Step-by-step explanation:
GIVEN; PQ = PR
ST II QR
TO PROVE ; PST IS AN ISOSCELES TRIANGLE
PROOF ;
IN TRIANGLES PQR AND PST -
ST II QR ( GIVEN )
THEN ,BY THALES THEOREM :
PS / PQ = PT / PR
PS / PQ = PT / PQ {PQ = PR ( GIVEN) }
PS = PT
SO, IF TWO SIDES OF A TRIANGLE IS EQUAL THEN IT IS A ISOSCELES TRIANGLE.
HENCE PROVED , PST IS ISOSCELES TRIANGLE.
THANKS FRIEND
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