Question

draw an obtuse angle triangle and a right angle triangle find the points of concurrence of the angle bisector of each triangle where do the point of concurrent lai​

Answer 1

Step-by-step explanation:

With O as origin and OA=OB=λ

then A is λi, B is λj and G is

3

λ

(i+j).

We have to find angle between medians GA and GB drawn from acute angles A and B.

Median

GA

is λi−

3

λ

(i+j)=

3

λ

(2i−j)⇒

∣

∣

∣

∣

GA

∣

∣

∣

∣

=GA=

3

λ

5

Median

GB

=

3

λ

(2j−i)⇒

∣

∣

∣

∣

GB

∣

∣

∣

∣

=GB=

3

λ

5

GA

.

GB

=GA.GB.cosθ

9

λ

2

(2i−j).(2j−i)=

3

λ

5

.

3

λ

5

cosθ

⇒−2−2=5cosθ⇒cosθ=−

5

4

etc.