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ABC is an isoceles triangle with AB =.AC and AD is one of its attitudes. 1. State the three pairs of equal parts of ∆ABC and ∆ACD. 2. Is ∆ABD =~ ∆ACD? Why or why not?
Verified Answer
ABC is an isoceles triangle with AB =.AC and AD is one of its attitude...
Use the result that angles opposite to equal sides of a triangle are equal in both ∆ABC & ∆DBC and then add these results to show the required result.
SOLUTION:
Given: ABC and DBC are two isosceles triangles.
To Prove: ∠ABD = ∠ACD
Proof: In ΔABC, AB =AC. (given)
∠ACB= ∠ABC..(1)
[Since angles opposite to equal sides of a triangle are equal]

In ∆ DBC,
DB=DC (given)
∠DCB = ∠DBC..(2)
[Since angles opposite to equal sides of a triangle are equal] On
adding eq 1 & 2 , We get
∠ACB+ ∠DCB= ∠ABC+ ∠DBC
∠ACD= ∠ABD
Hence, ∠ACD = ∠ABD
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ABC is an isoceles triangle with AB =.AC and AD is one of its attitudes. 1. State the three pairs of equal parts of ∆ABC and ∆ACD. 2. Is ∆ABD =~ ∆ACD? Why or why not?
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ABC is an isoceles triangle with AB =.AC and AD is one of its attitudes. 1. State the three pairs of equal parts of ∆ABC and ∆ACD. 2. Is ∆ABD =~ ∆ACD? Why or why not? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about ABC is an isoceles triangle with AB =.AC and AD is one of its attitudes. 1. State the three pairs of equal parts of ∆ABC and ∆ACD. 2. Is ∆ABD =~ ∆ACD? Why or why not? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABC is an isoceles triangle with AB =.AC and AD is one of its attitudes. 1. State the three pairs of equal parts of ∆ABC and ∆ACD. 2. Is ∆ABD =~ ∆ACD? Why or why not?.
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