Searches related to In the previous figure the triangle ABC

Searches related to In the previous figure, the triangle ABC is isosceles, C is the midpoint of segment BD and <ACB=45. If the segment BC measures 3 units, what is the area of ??the ACD triangle?

Solution

BC=3

And BC=CD=3

Therefore BD=6

ABC is isosceles,<ACB=45,therefore <CAB=45 too

Therefore <ABC=90 and triangle ABC is 45-45-90 triangle

Therefore AB=3 too

And area of triangle= 1/2 bh

b=6 and h=3

Therefore area=1/2(6*3)=9

Area of triangle ABD=9

And are of triangle ABC=1/2(3*3)=4.5

Therefore area of triangle ACD=area of triangle ABD - area of triangle ABC=4.5 square units