p,is a point,inside ,onside ,outside of equilateral triangle.find side of triangle if distance of :p from vertices of triangle be equail to: 5,7,11. (study each conditions separately). find side of ABC and p_1 p_2 p_3 in a special case that: { ((Ap_1 =11)),((Bp_2 =5)),((Cp


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Question Number 81267 by behi83417@gmail.com last updated on 10/Feb/20
$p,is a point,inside ,onside ,outside of equilateral triangle.find side of triangle if distance of :p from vertices of triangle be equail to: 5,7,11. (study each conditions separately). find side of ABC and p_1 p_2 p_3 in a special case that: { ((Ap_1 =11)),((Bp_2 =5)),((Cp_3 =7)) :}$
$p, is a point, inside, onside, outside of$ $equilateral triangle . find side of triangle$ $if distance of : p from vertices of triangle$ $be equail to : 5, 7, 11 .$ $(study each conditions separately) .$ $find side of ABC and p_{1} p_{2} p_{3} in a$ $special case that : {\begin{cases} {Ap}_{1} = 11 \\ {Bp}_{2} = 5 \\ {Cp}_{3} = 7 \end{cases}$
Commented by behi83417@gmail.com last updated on 10/Feb/20

Commented by mr W last updated on 10/Feb/20

$s i r : {i t}^{'} s n o t c l e a r w h a t i s m e a n t .$ $i f t h e d i s t a n c e f r o m a p o i n t P, w h i c h$ $c a n l i e i n s i d e, o n s i d e o r o u t s i d e o f t h e$ $t r i a n g l e, t o t h e v e r t e x e s o f t h e t r i a n g l e$ $i s 5, 7, 11 r e s p e c t i v e l y, t h e n t h e s i d e$ $l e n g t h o f t h e t r i a n g l e i s a l s o f i x e d,$ $g e n e r a l l y t h e r e a r e t w o v a l u e s .$ $j u s t t o h a v e {A P}_{1} = 11, {B P}_{2} = 5 a n d$ ${C P}_{3} = 7, A B C a n d P_{1} P_{2} P_{3} c o u l d b e o f$ $i n f i n i t e l y m a n y s i z e s, i . e . y o u c a n$ $n o t d e t e r m i n e t r i a n g l e s A B C a n d P_{1} P_{2} P_{3}$ $u s i n g o n l y t h i s c o n d i t i o n .$
Commented by behi83417@gmail.com last updated on 11/Feb/20

$thank you dear master . there is 3 separate$ $questions :$ $1 . p, is inside of triangle and its distances$ $from vertices are : 5, 7, 11 . and so on for$ $You can't use 'macro parameter character #' in math mode$ $each colore is for one question .$
Commented by behi83417@gmail.com last updated on 11/Feb/20

Commented by mr W last updated on 11/Feb/20

$i s e e .$ $b u t i f t h e t h r e e d i s t a n c e s a r e g i v e n,$ $w e c a n u n i q u e l y d e t e r m i n e t h e$ $c o r r e s p o n d i n g e q u i l a t e r a l t r i a n g l e .$ $w e c a n t h e n c h e c k i f t h e p o i n t i s$ $i n s i d e, o n s i d e o r o u t s i d e t h e t r i a n g l e .$ $b u t t h i s i s a l r e a d y s o l v e d i n a n e a r l i e r$ $p o s t o f y o u .$
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