In △abc, ab=8, bc=10, and ac=12. let m, n, and k be the midpoints of the sides of △abc. find length of each side of △mnk. no picture.

The length of MN is 6, length of NK is 4 and Length of MK is 5.

Explanation:

It is given that In △ABC, AB=8, BC=10, and AC=12. Let M, N, and K be the midpoints of the sides of △ABC.

The mid point theorem states that if a line segment joining the midpoints of two sides of the triangle, then the length of that line is half of the length of third line.

If M and N are mid points of AB and BC respectively, then the line MN must be parallel to AC and the length of MN is half of the length of AC.

If N and K are mid points of BC and AC respectively, then the NK line must be parallel to AB and the length of  NK is half of the length of AB.

If M and K are mid points of AB and AC respectively, then the line MK must be parallel to BC and the length of MK is half of the length of BC.

Therefore, the length of MN is 6, length of NK is 4 and Length of MK is 5.

ummm seems that u didnt post the attachement !

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol