Question:
Show that if two such isosceles triangles (from Q5) have equal base length, they are congruent to each other. [Page No. 100]
Answer:
Verified
Let ΔOAB and ΔOPQ be two triangles formed by chords AB and PQ of the same circle with centre O, such that AB = PQ (equal bases).
In ΔOAB and ΔOPQ,
OA = OP [Radii of the circle]
OB = OQ [Radii of the circle]
AB = PQ [Given]
By SSS congruence, ΔOAB ≅ ΔOPQ.
