Maths-
General
Easy
Question
In the figure, ABC is an isosceles triangle with AB = AC. If D is the midpoint of BC, prove that:
(i) ΔABD⩭ ΔACD
(ii) 90°
Hint:
Find the congruence rule and from that find the angles.
The correct answer is: 90°
(i) In ΔABD and ΔACD, we have
AB = AC (isosceles triangle)
AD = AD (common side)
BD = DC (Since D is the midpoint of BC)
Hence ΔABD⩭ ΔACD by SSS congruence rule.
(ii) Since ΔABD⩭ ΔACD by SSS congruence rule
We have,
(linear pair)
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