2025 · Basic · Set 5 · Part 3·Q29·3 marks
Triangles
Question
It is given that . Prove that .
Approach
Given △ACD ≅ △ABE, by CPCT AC = AB and AD = AE. Therefore AB/AD = AC/AE and ∠A is common. By SAS similarity criterion, △ADE ∼ △ABC.
Step-by-step working
- 1
Given △ACD ≅ △ABE, by CPCT AC = AB and AD = AE
1 mark - 2
AB/AD = AC/AE and ∠A is common
1 mark - 3
By SAS similarity criterion, △ADE ∼ △ABC
1 mark
Concepts used
congruencesimilaritycpctsas similarity
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