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D and e are respectively the points on the sides ab and ac of a triangle abc such that ad=3cm bd=5cm bc =12.8 cm and de is Parallel to bc . Then length of de in cm is?
Verified Answer
D and e are respectively the points on the sides ab and ac of a triang...
Given:
∆ABC in which DE // BC. AD = 2cm, BD = 3 cm and BC = 7.5 cm.
To find:
The length of DE
Since, DE is parallel to BC
→ angle ADE = angle ABC (corresponding angles)
→ angle AED = angle ACB (corresponding angles)
Hence, by AA criterion of similarity,
∆ADE ~ ∆ABC
ratio of corresponding sides of similar triangles are equal.
AD/AB = DE/BC
AB = AD + DB
AB = 2 + 3 = 5 cm
So,
2/5 = DE/7.5
DE = 2/5 x 7.5
DE = 2 x 1.5
DE = 3 cm.
Hence, the length of side DE is 3 cm.
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D and e are respectively the points on the sides ab and ac of a triangle abc such that ad=3cm bd=5cm bc =12.8 cm and de is Parallel to bc . Then length of de in cm is?
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D and e are respectively the points on the sides ab and ac of a triangle abc such that ad=3cm bd=5cm bc =12.8 cm and de is Parallel to bc . Then length of de in cm is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about D and e are respectively the points on the sides ab and ac of a triangle abc such that ad=3cm bd=5cm bc =12.8 cm and de is Parallel to bc . Then length of de in cm is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for D and e are respectively the points on the sides ab and ac of a triangle abc such that ad=3cm bd=5cm bc =12.8 cm and de is Parallel to bc . Then length of de in cm is?.
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