3
Question
In a △ ABC, AB = AC and AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Then about which of the following lines is the triangle symmetrical?
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Solution
In the △ ABC ,
Given: AB = AC
AD ⊥ BC, BE ⊥ AC and CF ⊥ AB
Since, AB = AC (given), the line AD will divide △ABC into two equal halves.
∴ △ABC is symmetrical about the line AD.
In the △ ABC ,
Given: AB = AC
AD ⊥ BC, BE ⊥ AC and CF ⊥ AB
Since, AB = AC (given), the line AD will divide △ABC into two equal halves.
∴ △ABC is symmetrical about the line AD.
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