Question

a cos A +b cos B +c cos C =0.5(a+b+c)
what is the type pf triangle ?

Answer 1

yes it is one of the answer !
but can you prove it by geometry ?

Answer 2

is there anyother answer ? cuz i guess this is unique unless u have info about a,b,c
worth to try :)

Answer 3

so like this or a,b,c any numbers ?

Answer 4

yes they are for a triangle

Answer 5

try using cosine law

Answer 6

one answer is this
a cos A +b cos B +c cos C =0.5 a+0.5 b+ 0.5c
a cos A =0.5 a
b cos B = 0.5 b
c cos C =0.5c

lets see if cosine law work

Answer 7

i love it when you make everything look easy ^^

Answer 8

hehe ty :3

Answer 9

nice Q

Answer 10

very nice proof

Answer 11

have you other method @Loser66 ?

Answer 12

which proof ? you are talking about ?

Answer 13

ikram002p
Best Response
Medals 2

one answer is this a cos A +b cos B +c cos C =0.5 a+0.5 b+ 0.5c a cos A =0.5 a b cos B = 0.5 b c cos C =0.5c lets see if cosine law work

Answer 14

may not be other type of triangle !?

Answer 15

well u have to consider this
a,b,c all>0
a+b>c
a+c>b
b+c>a
so the solution is unique ...
u can go with cosine law to prove it

Answer 16

or law of sine ( ill see if this is gonna work )