In the triangle MNP, seg NQ is the bisector of angle MNP. IF MN=25, NP=40 AND MQ=12.5, find the length of side PQ.
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MNP is a triangle
NQ is a bisector (makes an angle of 90° on both sides)
in triangle MNQ
BY pythagoras theorem
(p)square =(H)square +(B)square
(NQ) perpendicular=?
(MN) hypotenuse=25
(MQ)base=12•5
(p)square=(25)square+(12•5)square
(p)sqaure =625+156•2
(p)square=781•2
(p)=±781•2
(p)= 27•9
now,NQ is 27•9cm
NQ is a bisector (makes an angle of 90° on both sides)
in triangle MNQ
BY pythagoras theorem
(p)square =(H)square +(B)square
(NQ) perpendicular=?
(MN) hypotenuse=25
(MQ)base=12•5
(p)square=(25)square+(12•5)square
(p)sqaure =625+156•2
(p)square=781•2
(p)=±781•2
(p)= 27•9
now,NQ is 27•9cm
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