There is a moving point P in a triangle ABC of which sides are a,b,c and a>b>c find the minimum and maximum of AP+BP+CP


Question and Answers Forum

All Questions Topic List
Geometry Questions
Previous in All Question Next in All Question
Previous in Geometry Next in Geometry
Question Number 94144 by Tony Lin last updated on 17/May/20

$T h e r e i s a m o v i n g p o i n t P i n a t r i a n g l e$ $A B C o f w h i c h s i d e s a r e a, b, c a n d a > b > c$ $f i n d t h e m i n i m u m a n d m a x i m u m$ $o f A P + B P + C P$
Commented by Tony Lin last updated on 17/May/20

$t h a n k s s i r I a l m o s t f o r g o t R = \frac{a b c}{4 Δ}$
Commented by mr W last updated on 17/May/20

$m i n i m u m = 3 R = \frac{3 a b c}{\sqrt{(a + b + c) (- a + b + c) (a - b + c) (a + b - c)}}$ $w h e n P i s t h e c i r c u m c e n t e r .$ $m a x i m u m = a + b$ $w h e n P i s t h e v e r t e x C .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum