Class 10 Exam > Class 10 Questions > In triangle ABC, if x and y are points on AB ...
Start Learning for Free
In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not
Most Upvoted Answer
In triangle ABC, if x and y are points on AB and AC respectively such ...
To solve this problem, we need to use the concept of similar triangles.
Let's call the point of intersection between XY and BC as Z.
Since AX/XB = 3/4, we can say that AZ/ZB = 3/4. Similarly, we can say that AY/YC = 5/5 = 1.
Now, let's consider triangles AZX and CZY.
Since the corresponding sides of these triangles are proportional (AZ/ZC = 3/1 and AX/XY = 3/3 = 1), we can conclude that these triangles are similar.
Using the concept of similar triangles, we know that the ratio of the lengths of corresponding sides is the same.
Therefore, we can say that AZ/ZY = 3/1.
Now, we know that AY = 5, so AZ = AY - ZY = 5 - ZY.
Substituting this value in the equation AZ/ZY = 3/1, we get (5 - ZY)/ZY = 3/1.
Cross-multiplying, we get 5 - ZY = 3ZY.
Simplifying, we get 5 = 4ZY.
Dividing both sides by 4, we get ZY = 5/4.
Therefore, the length of YZ is 5/4.
Let's call the point of intersection between XY and BC as Z.
Since AX/XB = 3/4, we can say that AZ/ZB = 3/4. Similarly, we can say that AY/YC = 5/5 = 1.
Now, let's consider triangles AZX and CZY.
Since the corresponding sides of these triangles are proportional (AZ/ZC = 3/1 and AX/XY = 3/3 = 1), we can conclude that these triangles are similar.
Using the concept of similar triangles, we know that the ratio of the lengths of corresponding sides is the same.
Therefore, we can say that AZ/ZY = 3/1.
Now, we know that AY = 5, so AZ = AY - ZY = 5 - ZY.
Substituting this value in the equation AZ/ZY = 3/1, we get (5 - ZY)/ZY = 3/1.
Cross-multiplying, we get 5 - ZY = 3ZY.
Simplifying, we get 5 = 4ZY.
Dividing both sides by 4, we get ZY = 5/4.
Therefore, the length of YZ is 5/4.
Community Answer
In triangle ABC, if x and y are points on AB and AC respectively such ...
XY cannot be parallel to XB no possible at all
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not
Question Description
In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not 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 triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not .
In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not 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 triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not .
Solutions for In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not 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 triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not defined & explained in the simplest way possible. Besides giving the explanation of
In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not , a detailed solution for In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not has been provided alongside types of In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not theory, EduRev gives you an
ample number of questions to practice In triangle ABC, if x and y are points on AB and AC respectively such that AX/XB=3/4 ,AY=5 & YC=9 THEN state weather XY and XB are parallel or not tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup