Math, asked by itzhannah2706yt, 1 month ago

In Triangle ABC, D is the midpoint of BC.
1. Name the median if Triangle ABC.
2. Is AB an altitude of Triangle ABC.
3. Is BC an altitude of Triangle ABC

Answers

Answered by aksharma181418
3

Answer:

Step-by-step explanation:

Let P & R are the mid-point of AD & BC respectively.  

Now draw RQ perpendicular to AB.

Now, in △CDB & △RQB,

∠D=∠Q=90°

∠B=∠B

∴△CDB∼△RQB (by AA)

So, basic propertionality theorem, if R is mid point of BC.

∴Q is midpoint of BD.

We can say,  

⟹AP+DQ=PD+QB

⟹2(AP+DQ)=PD+QB  

A

P+DQ

⟹2(AP+DQ)=AB

⟹AP+DQ=  

2

AB

 

⟹AP+DQ=  

2

8

=4

Also,  

QR=  

2

1

CD=  

2

1

×6=3

∴PR=  

(QR)  

2

+(PQ)  

2

 

 (By pythagoras theorem)

=  

(3)  

2

+(4)  

2

 

 

=  

25

 

=5

Answered by ganeshsable885
2

Answer:

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Step-by-step explanation:

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