Question

Points X, Y are the midpoints of side AB, side BC ∆ ABC respectively. AC = 10. Find the length of XY? ​

Answer 1

Answer:

i. AC = 9 cm [Given]  Points X and Y are the midpoints of sides AB and BC respectively. [Given]  ∴ XY = (1/2) AC [Midpoint tfyeprem]  = (1/2) x 9 = 4.5 cm  ii. AB = 5 cm [Given] Points Y and Z are the midpoints of sides BC and AC respectively. [Given]  ∴ YZ = (1/2) AB [Midpoint theorem]  = (1/2) x 5 = 2.5 cm  iii. BC = 11 cm [Given]  Points X and Z are the midpoints of sides AB and AC respectively. [Given]  ∴ XZ = (1/2) BC [Midpoint theorem]  = (1/2) x 11 = 5.5 cm  l(XY) = 4.5 cm, l(YZ) = 2.5 cm, l(XZ) = 5.5 cmRead more on Sarthaks.com - https://www.sarthaks.com/850396/adjoining-figure-points-are-midpoints-abc-respectively-find-lengths-side-side-and-side