In triangle xyz, a is the midpoint of xy, b is the midpoint of yz, and c is the midpoint of xz.
also, ay = 7, bz = 8, and xz = 18. what is the perimeter of triangle abc? explain

24

Step-by-step explanation:

We have the theorem that if we join the midpoints of two sides of a triangle then the line so formed will be half of the third side of the triangle.

So, here in this case in triangle XYZ, A is the mid point of XY and B is the mid point of YZ,

Hence, Segment AB = Half of segment XZ =

Similarly, Segment BC = Half of segment XY = Segment AY =7

{Since, Segment AY = Half of segment XY}

And again, Segment CA = Half of segment YZ = Segment BZ = 8

So, the perimeter of triangle ABC is = AB + BC + CA = 9 + 7 + 8 = 24. (Answer)

step-by-step explanation:

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