Hi
Can you help me please with this question :
ABC is a triangle where the point D is on Bc such that BAD = 60 , B=20 , AB = CD ...
Can you tell me ACB = ?????
Hello, OnlyMath!
I did a lot of trig and came with a surprisingly simple answer.
I suspect that there is an elegant geometric solution . . . somewhere.
is a triangle where the point is on
. . such that: .
FindCode:B o * * * 20 * * * D a * 100 o * * 80 * a * 60 * x * * * @ * A o * * * * * * * o C
We have: .
Let
.[1]
.[2]
Equate [1] and [2]:
. .
. .
. .
. .
. .
. . . . . . .
Therefore: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Fascinating!
is isosceles: .
Also, is isosceles: .
Is there a more direct way to derive those facts?