In an isosceles triangle ABC, AD is the perpendicular from vertex A to base BC. Prove that triangle ABC De is congruent to triangle ACD.
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Answer:ΔABD≅ΔACD SSS
Step-by-step explanation:
In △ABD and △ACD,
AB=AC (since △ABC is isosceles)
AD=AD (common side)
BD=DC (since △BDC is isosceles)
ΔABD≅ΔACD SSS test of congruence,
∴∠BAD=∠CAD i.e. ∠BAP=∠PAC [c.p.c.t]
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