what is integer sided triangle?
 
 
 

Asked by badesraajay | 1st Aug, 2015, 06:20: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space f i g u r e. E x t e r n a l space a n g l e space b i s e c t o r space T h e o r e m colon space T h e space e x t e r n a l space b i s e c t o r space o f space a n space a n g l e space o f space a space t r i a n g l e space d i v i d e s space t h e o p p o s i t e space s i d e space e x t e r n a l l y space i n space t h e space r a t i o space o f space t h e space s i d e s space c o n t a i n i n g space t h e space a n g l e. T h e r e f o r e comma space b y space t h e space a b o v e space e x t e r n a l space a n g l e space b i s e c t o r space t h e o r e m comma space w e space h a v e comma fraction numerator B E over denominator C E end fraction equals fraction numerator A B over denominator A C end fraction... left parenthesis 1 right parenthesis A l s o space g i v e n space t h a t space A B equals 10 space c m comma space A C equals 6 space c m space a n d space B C equals 12 space c m W e space n e e d space t o space f i n d space t h e space v a l u e space o f space C E. L e t space u s space a s s u m e space t h a t space C E equals x T h u s comma space e q u a t i o n space left parenthesis 1 right parenthesis space b e c o m e s comma fraction numerator B C plus C E over denominator C E end fraction equals fraction numerator A B over denominator A C end fraction rightwards double arrow fraction numerator 12 plus x over denominator x end fraction equals 10 over 6 rightwards double arrow 6 open parentheses 12 plus x close parentheses equals 10 x rightwards double arrow 72 plus 6 x equals 10 x rightwards double arrow 4 x equals 72 rightwards double arrow x equals 72 over 4 rightwards double arrow x equals 18 space c m

Answered by Vimala Ramamurthy | 3rd Aug, 2015, 09:04: AM