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ABC is a Traingle with DE PARALLEL TO BC. If AD=2cm and BC=4cm then find the value DE:BC?
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ABC is a Traingle with DE PARALLEL TO BC. If AD=2cm and BC=4cm then fi...
Solution:

Given, ABC is a triangle with DE parallel to BC, AD=2cm and BC=4cm.

To find: The value of DE:BC.

Approach:

We can use the concept of similar triangles to find the value of DE:BC.

If two triangles are similar, then their corresponding sides are in proportion.

Let's consider triangles ADE and ABC.

Here, DE is parallel to BC, therefore, angle ADE = angle ABC (Alternate angles)

Also, angle AED = angle ACB (Corresponding angles)

Therefore, by AA similarity criterion, triangles ADE and ABC are similar.

Thus, we have:

DE/BC = AD/AB

DE/4 = 2/AB (Substituting given values)

AB = 2*4/DE

AB = 8/DE

Substituting this value in the above equation, we get:

DE/4 = 2/(8/DE)

DE/4 = 2*DE/8

DE/4 = DE/4

Therefore, DE:BC is equal to 1:1.

Conclusion:

Hence, the value of DE:BC is 1:1.
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ABC is a Traingle with DE PARALLEL TO BC. If AD=2cm and BC=4cm then fi...
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ABC is a Traingle with DE PARALLEL TO BC. If AD=2cm and BC=4cm then find the value DE:BC?
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ABC is a Traingle with DE PARALLEL TO BC. If AD=2cm and BC=4cm then find the value DE:BC? 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 ABC is a Traingle with DE PARALLEL TO BC. If AD=2cm and BC=4cm then find the value DE:BC? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABC is a Traingle with DE PARALLEL TO BC. If AD=2cm and BC=4cm then find the value DE:BC?.
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