In triangle ABC, AB = AC, and D is the point inside triangle such that BD = DC, as shown in the figure, which of the following is true?
Select one:
a. ∆ABD ≅ ∆ACD
b. ALL OF THESE
c. ∠ABD ≅ ∠ACD
d. ∠DAC ≅ ∠DAB
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ANSWER
In △s ABD and ADC,
AD = AD (Common)
BD = CD (Given)
AB = AC (Given)
Hence, △ABD≅△ADC (SSS rule)
Thus, ∠ADB=∠ADC=x (By cpct)
∠ADB+∠ADC=180 (Angles on a straight line)
x+x=180
x=90
∠ADB=∠ADC=90
∘
or, AD is perpendicular to BC
Answered by
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Answer:
answer is b all of these
Step-by-step explanation:
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