Example 3
In figure , / = / and PST = PRQ. Prove that PQR is an isosceles triangle.
Given:
/ = /
PST = PRQ
To prove: PQR is an isosceles triangles
Proof:
Given / = /
ST II QR
Since ST II QR ,
PST = PQR
Also,
given PST = PRQ
From (1) and (2)
PQR = PRQ
PR = PQ
Therefore , two sides of PQR is equal
PQR is an isosceles triangle
Hence proved
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
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