in triangle abc , x is the middle point of ac if xy is parallel to ab then - Maths - Triangles

Question

​​in triangle abc , x is the middle point
of ac if xy is parallel to ab then prove that y is the mid point of
ab

Ashutosh Verma · Accepted Answer

Dear Student,

Please find below the solution to the asked query:

Correct query : â€‹â€‹In
triangle ABC , X is the middle point of AC if XY is parallel to AB
then prove that Y is the mid point of BC

From given information we form our diagram , As :
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_57cee8bde34d3%20jpg"
style="width: 253px; height: 202px;">
Here , AX = CX = AC2 --- ( 1 )
And

XY | | AB

From BPT we get in triangle ABC

CXAX = CYBY⇒AXAX = CYBY      ( From equation 1 )⇒1 = CYBY⇒BY = CY
Therefore,

From above equation we can say that " Y is mid poin of line
BC " ( Hence proved )

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​​in triangle abc , x is the middle point of ac . if xy is parallel to ab then prove that y is the mid point of ab

in triangle abc , x is the middle point of ac . if xy is parallel to ab then prove that y is the mid point of ab