(fill in the blank) lamar is writing a coordinate proof to show that a segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas. he starts by assigning coordinates as given.

 1. Coordinates of N=(a,b).

2. Area of ΔKNM=ab.

3. Base of ΔMNL= 2a and height =b.

Explanation

1. Given: ΔKML in which N is the midpoint of L(2a,0) and and K(0,2b)

By mid point theorem the coordinates of N =

2. Given: In ΔKNM , base MK=2b and height=a then

Area of ΔKNM=

3.Given: Area of ΔMNL =ab

base of ΔMNL=2a ,across x axis.

Now ,

Arera of ΔMNL

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step-by-step explanation:

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