Question

Given ABC with AB=3,BC=5,and CA=6 find the length of a mid segment XY

Answer 1

`\overline{XY} = 1.5`

Explanation:

Given:

AB = 3

BC = 5

CA = 6

Required:

Length of XY

SOLUTION:

According to the Triangle Midsegment Conjecture, midsegment
`\overline{XY}` is half the length of
`\overline{AB}`.

Therefore:

`\overline{XY} = (1)/(2)(\overline{AB})`

Thus:

`\overline{XY} = (1)/(2)(3)`

`\overline{XY} = (3)/(2)`

`\overline{XY} = 1.5`