Find PN
PL Z ANSWER IT
GEOMETRY QUESTION
Answers
Step-by-step explanation:
Given :-
In ∆PQR ,NM || RQ
PM = 15 , MQ =10 , NR = 8
To find :-
Find the value of PN ?
Solution :-
Given that :
In ∆PQR , NM || RQ
=> NM divides the other two sides in the same ratio
By Thales Theorem
"A line drawn parallel to one side of a triangle to Intersecting with two different points then the line divides the other two sides in the same ratio".
=> PN / NR = PM / MQ
Given that
PM = 15 units,
MQ =10 units ,
NR = 8 units
On Substituting these values in the above condition
=> PN / 8 = 15/10
=> PN / 8 = 3/2
=>PN = (3/2)×8
=> PN = (3×8)/2
=> PN = 24/2
=> PN = 12 units
Therefore, PN = 12 units
Answer:-
The value of PN for the given problem is 12 units
Used formulae:-
Basic Proportionality Theorem:-
"A line drawn parallel to one side of a triangle to Intersecting with two different points then the line divides the other two sides in the same ratio".
This theorem is also called Thales Theorem.
Answer:
PN = 12
Step-by-step explanation:
Given,
PQRS is a triangle in which PM=15, MQ=10, NR=8
To find PN = ?
PM/MQ = PN/NR ( thales theorm)
= 15/10 = PN/8
= 10PN = 8 * 15
= PN = (8 * 15) /10
= PN = 12
HOPE YOU UNDERSTOOD