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Question
Which of the following statements are true (T) and which are false (F)?
Difference of any two sides of a triangle is equal to the third side.
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Solution
False (F)
Reason: The difference of any two sides of a triangle is less than third side.
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ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD ⊥ BC (Figure). To prove that ∠BAD = ∠CAD, a student proceeded as follows:

In ∆ABD and ∆ACD,
AB = AC (Given)
∠B = ∠C (Because AB = AC)
and ∠ADB = ∠ADC
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[Hint: Recall how ∠B = ∠C is proved when AB = AC].
