Question

state and prove midpoint theorem

Answer 1

Step-by-step explanation:

sorry for half information

Answer 2

"The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

MATHS

State and prove mid point theorem.

December 26, 2019avatar

Anwar Kapane

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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 ∥BC.

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