Question

In the figure, point Q on the side MP of triangle MNP is such that MQ=2 and MP=5.5. Ray NQ is the bisector of angle MNP
find MN:NP​

Answer 1

Answer:

Given: NQ bisects ∠MNP

MQ=2

MP=5.5

MQ+QP=5.5

2+QP=5.5

QP=3.5

In △MNP,

NP

MN

=

QP

MQ

(By Angle bisector theorem)

NP

MN

=

3.5

2

NP

MN

=

7

4

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Answer 2

Answer:

MN:NP=4:7

Step-by-step explanation:

Given : NQ bisects angle MNP

mq = 2

mp= 5.5

mq+qp=5.5

Qp=5.5

in ∆MNP,

NP = QP

MN = MQ

(By angle bisector theorem)

NP = 3.5

MN = 2

So, NP = 7

MN = 4

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