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Given:-
- line l (PY) ║ BC
- AP = 3
- PB = 6
- AY = 5
- YC = x
to find:-
- value of x
Solution:-
Using basic proportionality theorem which states that
→ If a line is drawn parallel to one side of triangle that intersect the other two sides of triangle in distinct points , then the other two sides are divided in the same ratio.
so,
- AY / YC = AP / PB
- 5 / x = 3 / 6
→ x = 10
Hence, the value of x is 10 .
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