Question

ABC is a triangle whose medians AD and BC are perpendicular to each other. If AD =p and BE = q then area of triangle ABC is​

Answer 1

Answer:

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Step-by-step explanation:

Given:AD=4, and BD=DC

Since the centroid O divides the line AD in the ratio 2:1

∴AO=

3

8

and DO=

3

4

In △ABO,tan

3

π

=

BO

AO

⇒BO=AOcot

3

π

⇒BO=

3

8

×

3

3

1

=

3

3

8

Area of △ADB=

2

1

×AD×BO

=

2

1

×4×

3

3

8

=

3

3

16

Since, median divides a triangle in to two triangles of equal area.

∴Area of △ABC=2×Area of △ADB

=2×

3

3

16

=

3

3

32

sq.units

Answer 2

Answer:

we know that AD and BE are perpendicular to each other so both are 90 degree equal

Step-by-step explanation:

x/2=90 degree then

x=90*2

x=180 degree Ans