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प्रश्न
Which of the following statements are true (T) and which are false (F):
The bisectors of two equal angles of a triangle are equal
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उत्तर
True (T)
Reason: Since it an isosceles triangle, the lengths of bisectors of the two equal angles are equal
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संबंधित प्रश्न
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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
Therefore, ∆ABD ≅ ∆ACD (AAS)
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[Hint: Recall how ∠B = ∠C is proved when AB = AC].
