Class 10 Exam  >  Class 10 Questions  >  In a triangle ABC ,P and Q are points on side... Start Learning for Free
In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ?
Verified Answer
In a triangle ABC ,P and Q are points on sides AB and BC such that PQ ...
First prove triangle ABC similar triangle ade

angle A is common

angle B = angle D(BC//DE, corresponding angle are equal)

therefore triangle are similar

thus by proportional property of similar triangles

AB/AD = AC/AE =  BC/DE

or (AD+DB)/AD = BC/DE and (AE+EC)/AE =BC/DE

or 1+DB/AD = BC/DE  and 1+EC/AE = BC/DE

putting values of AD, BC, DE and AE

1+DB/2.4=5/2  and  1+EC/3.2 =5/2

1+DB/2.4 =2.5 and  1+EC/3.2 = 2.5

DB/2.4=2.5-1 and EC/3.2=2.5-1

DB/2.4=1.5  and  EC/3.2 =1.5

DB=1.5*2.4  and EC=1.5*3.2

DB=3.6 cm  and  EC=4.8 cm   Ans
This question is part of UPSC exam. View all Class 10 courses
Explore Courses for Class 10 exam

Top Courses for Class 10

In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ?
Question Description
In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ? 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 a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ?.
Solutions for In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ? defined & explained in the simplest way possible. Besides giving the explanation of In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ?, a detailed solution for In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ? has been provided alongside types of In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ? theory, EduRev gives you an ample number of questions to practice In a triangle ABC ,P and Q are points on sides AB and BC such that PQ is parallel to BC . If AD =2.4cm ,AE=3.2cm ,PQ=2cm and BC=5 cm .Find BD and CE ? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev