Question

All the theorems in triangle chapter in maths of class 10th​

Answer 1

Answer:

ANSWER

Given: In △ABC,D and E are midpoints of AB and AC respectively,

i.e., AD=DB and AE=EC

To Prove: DE∥BC

Proof:

Since, AD=DB

∴

DB

AD

=1............(1)

Also,

AE=EC

∴

EC

AE

=1............(2)

From (1) and (2),

DB

AD

=

EC

AE

=1

i.e.,

DB

AD

=

EC

AE

∴ By converse of Basic Proportionality theorem,

DE∥BC

solution