In triangle TUV A, B, and C are midpoints of TU, UV, and TV. If UT=12 UV=16 and TV=20, Find AB, BC, AC

Question

must show work and use cross multiplication 

Answer 1

You need to apply the Triangle Midpoint Theorem:

 

The line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to one-half its length

 

Hence:

• AB = (1/2)TV = (1/2)(20) = 10
• BC = (1/2)TU = (1/2)(12) = 6
• AC = (1/2)UV = (1/2)(16) = 8