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In triangle PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF?
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In triangle PQR E and F are points on sides PQ and PR respectively , s...
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In triangle PQR E and F are points on sides PQ and PR respectively , s...
Given information:
- Triangle PQR with points E and F on sides PQ and PR respectively
- EF is parallel to QR
- PE = 6 cm
- QE = 2 cm
- FR = 3 cm
Approach:
To find PF, we can use the property of similar triangles. Since EF is parallel to QR, we can see that triangle PQF and triangle PRE are similar. Using this similarity, we can set up a proportion to find the length of PF.
Solution:
Let's use the similarity of triangle PQF and triangle PRE to find PF.
Step 1: Set up the proportion:
Since triangle PQF and triangle PRE are similar, we can set up the following proportion:
PF / FR = QE / PE
Step 2: Substitute the given values:
Substituting the given values, we get:
PF / 3 = 2 / 6
Simplifying the proportion, we have:
PF / 3 = 1 / 3
Step 3: Solve for PF:
To solve for PF, we can cross-multiply the proportion:
PF = (1 / 3) * 3
PF = 1
Answer:
Therefore, PF is equal to 1 cm.
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In triangle PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF?
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In triangle PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF? 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 PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF?.
In triangle PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF? 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 PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle PQR E and F are points on sides PQ and PR respectively , such that EF parallel to QR .if pe is 6 cm, QE is 2cm , FR is 3cm and find PF?.
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