Question

In triangle ABC, D is the mid point of AB, E is the mid point of AC. Calculate a. DE if BC=8cm b. Angle ADE if Angle DBC=125degree​

Answer 1

Answer:

Refering figure,

DE=

2

1

BC

and AP=

2

1

AQ

Given, Area of ΔABC=60cm

2

or

2

1

×BC×AQ=60

or BC×AQ=120

∴ Area of ΔADE=

2

1

DE×AP

=

2

1

×

2

1

BC×

2

1

AQ=

8

1

BC×AQ

=

8

1

×120=15sq.cm.

solution