Question

In the figure, seg MP and seg CN

intersect at A.

MA = 3, CA = 6, NA = 4, PA = 8

Prove:  MAN   CAP.​

Answer 1

Answer:

the answer is

Step-by-step explanation:

Area of ΔMPN=  

2

1

​

(MN)(NP)=  

2

1

​

(NQ)(MP)

∴(MN)(NP)=(NQ)(MP)

∴MP=9+4=13

∴MN  

2

+NP  

2

=169

∴MN  

2

=81+NQ  

2

 

∴NP  

2

=16+NQ  

2

 

∴81+16+2NQ  

2

=169

∴NQ  

2

=  

2

169−97

​

 

∴NQ  

2

=36

∴NQ=6.

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