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

Question

asked Jan 17, 2021 168k views

1 Answer

Nubinub · Answer 1 · 2021-01-23T16:00:35+0000

Answer:

$\overline{XY} = 1.5$

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:

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

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

$\overline{XY} = 1.5$