Question

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.

Answer 1

4, 5, 6

Explanation:

Answer 2

The side lengths are 4, 5, and 6.

Explanation:

Each midsegment is half the length of the parallel side, so the side lengths of ΔMNK are 4, 5, and 6.

It isn't clear which point is the midpoint of what segment. If it is true that ...

• M is the midpoint of AB
• N is the midpoint of BC
• K is the midpoint of AC

then ...

• MN = AC/2 = 6
• NK = AB/2 = 4
• KM = BC/2 = 5