Answer:
Its very easy
Step-by-step explanation:
Its Just very easy,
Method 1 : ∠ACB = ∠ABC Which Means AC = AB (Sides Opposite to equal angles are also equal)
Hence The Triangle is Isosceles.
Method 2 : ACD + CDA + DAC = 180°
ADB + DBA + DAB = 180°
∴ ACD +CDA + DAC = ADB +DBA +DAB
And, ACD +CDA + DAC = ADB +ACD +DAB, ( ACD = ABD)
We can cut ACD On LHS with the RHS.
= CDA + DAC = ADB + DAB And given AD is Perpendicular
90° + DAC = 90° + DAB
Same like above, DAC = DAB
Now, ∠DAC = ∠DAB
∠ACD = ∠ABD
AD = AD (COMMON)
By A-A-S Criteria rule, ΔACD ≅ ΔABD
By CPCT AC = AB,
Hence ΔACB is a Isosceles Triangle.
Accordingly you can fill the Flow Chart.
Hope it Helps,
I am an Indian.
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