Asked by Knights
Isosceles triangle ABC has sides of length AB=AC=25 and BC=40 . Find the area of a semicircle inscribed in triangle ABC with diameter along BC .
Please help I do not know how to start....
Please help I do not know how to start....
Answers
Answered by
Steve
If the center of the semi-circle is O, draw OD where D is the point where AC is tangent to o the circle.
Since OD┴AD, if the radius is r, let a=AD and b=DC, so a+b=25
r^2 + a^2 =15^2
r^2 + b^2 = 20^2
equating r^2, we get
15^2-a^2 = 20^2-(25-a)^2
solve to get a=9, so b=16
So, r^2+9^2 = 15^2
r^2 = 225-81=144
area of semi-circle is 1/2 pi r^2 = 72pi
Since OD┴AD, if the radius is r, let a=AD and b=DC, so a+b=25
r^2 + a^2 =15^2
r^2 + b^2 = 20^2
equating r^2, we get
15^2-a^2 = 20^2-(25-a)^2
solve to get a=9, so b=16
So, r^2+9^2 = 15^2
r^2 = 225-81=144
area of semi-circle is 1/2 pi r^2 = 72pi
Answered by
Knights
Thanks a lot!
Answered by
AOPS
Stop Cheating!
Answered by
Overseer
Wow...AoPS caught you...don't know what to say...
However, it is still quite funny...
However, it is still quite funny...
Answered by
AoPS
In violation of our honor code. The previous AoPS was an imposter, his username had an uppercase "O" instead of the correct lowercase o.
Answered by
Anonymous
i agree- and please ask for hints on the message boards. THe questions are supposed to be challenging- try to solve them by yourself
Answered by
AoPS
Ask for hints on the message boards instead of online. You are not benefitting yourself by asking for answers online.
Answered by
JEFF
MYNAMEJEFF
Answered by
Richard Rusczyk
This is an amazing site! Please use it! Great alternative to the AoPS site!
Answered by
Richard Rusczyk
Alternative to the AoPS message board, I mean! I love this homework help site! I'm the founder of AoPS as well! :D
Answered by
aops real one 100%
stop cheating
just kidding we encourage this site bc it helps alot 100%%%%5
just kidding we encourage this site bc it helps alot 100%%%%5
Answered by
Anonymous
facts tho
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.