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In traingle ABC , DE is parallel to BC , AD = 3cm,DB=8cm,AC = 22cm At what distance from A does the line DE cut AC?
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In traingle ABC , DE is parallel to BC , AD = 3cm,DB=8cm,AC = 22cm At ...

Given
- Triangle ABC with DE parallel to BC
- AD = 3cm, DB = 8cm, AC = 22cm

To Find
- The distance from A where DE cuts AC

Solution

Step 1: Finding Length of AE
- Using the property of similar triangles, we can say that triangle ADE is similar to triangle ABC
- Therefore, AE/AC = AD/AB
- AE/22 = 3/(3+8)
- AE/22 = 3/11
- AE = 6cm

Step 2: Finding Distance of DE from A
- Since DE is parallel to BC, we have triangle ADE similar to triangle ABC
- Therefore, DE/BC = AE/AC
- DE/8 = 6/22
- DE = 8*6/22
- DE = 48/22
- DE = 24/11 cm

Therefore, the line DE cuts AC at a distance of 24/11 cm from A.
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In traingle ABC , DE is parallel to BC , AD = 3cm,DB=8cm,AC = 22cm At what distance from A does the line DE cut AC?
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In traingle ABC , DE is parallel to BC , AD = 3cm,DB=8cm,AC = 22cm At what distance from A does the line DE cut AC? 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 In traingle ABC , DE is parallel to BC , AD = 3cm,DB=8cm,AC = 22cm At what distance from A does the line DE cut AC? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In traingle ABC , DE is parallel to BC , AD = 3cm,DB=8cm,AC = 22cm At what distance from A does the line DE cut AC?.
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