Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:
The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.
First, find the coordinates of the midpoint M(xm,ym):
Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:
CM=2.5
Now find the distance AB:
AB=5
AB/2=2.5
It's proven CM is half of AB
