state and prove md point theorm
Answers
Answered by
0
Answer:
MidPoint Theorem Proof
If the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides. ... Let E and D be the midpoints of the sides AC and AB.
Answered by
0
Answer:
Mid point Theorem :
The line segment joining the mid points of any two sides of a triangle is parallel to the third side.
Given :
A △ABC in which D and E are the mid points of AB and AC, respectively.
To prove :
DE∥BC.
Proof :
Since D and E are the mid points of AB and AC, respectively, we have AD=DB and AE=EC.
Therefore,
DB
AD
=
EC
AE
( each equal to 1 )
Therefore, by the converse of thales theorem, DE∥BC.
Step-by-step explanation:
Hope It's Helpful..
Similar questions