Question

What is the Co-ordinate of midpoint of (2a,0) and (0,2a).​

Answer 1

Answer:

Given, (2a,2b) is the midpoint of (2a+2,3),(4,2b+1)

Therefore, (

2

2a+2+4

,

2

3+2b+1

)=(2a,2b)

⇒(

2

2a+6

,

2

2b+4

)=(2a,2b)

⇒

2

2a+6

=2a and

2

2b+4

=2b

⇒2a+6=4a and 2b+4=4b

⇒2a=6 and 2b=4

⇒a=3 and b=2

Answer 2

Answer:

here is your answer below

Step-by-step explanation:

The midpoint of the hypotenuse is (a,b)...and the easiest way to prove this is:

if the co-ordinates of a line segment are (a,b) and (c,d), the co-ordinates of the midpoint are [(a+c)/2,(b+d)/2]

Also the so-called side-splitter theorem will give you the same result.

Then there are 4 congruent right triangles...draw a figure and you will immediately see this.