how to find a corresponding side if one side and perimeters of similar triangles are given?
 

Asked by Harbans Singh | 19th Aug, 2015, 04:37: PM

Expert Answer:

L e t space u s space c o n s i d e r space o n e space e x a m p l e colon Q u s t i o n colon T h e space p e r i m e t e r s space o f space t w o space s i m i l a r space t r i a n g l e s space a r e space 30 space c m space a n d space 20 space c m space r e s p e c t i v e l y. I f space o n e space s i d e space o f space t h e space f i r s t space t r i a n g l e space i s space 12 space c m comma space d e t e r m i n e space t h e space c o r r e s p o n d i n g space s i d e space o f space t h e space s e c o n d space t r i a n g l e. S o l u t i o n colon I n space s i m i l a r space t r i a n g l e s comma space t h e space p e r i m e t e r s space a n d space c o r r e s p o n d i n g space s i d e s space w i l l space b e space i n space t h e space s a m e space r a t i o. T h e space r a t i o space o f space t h e space p e r i m e t e r s equals 30 over 20 equals 3 over 2 T h e r e f o r e comma space t h e space r a t i o space o f space t h e space c o r r e s p o n d i n g space s i d e s equals 12 over x equals 3 over 2 rightwards double arrow x equals fraction numerator 12 cross times 2 over denominator 3 end fraction rightwards double arrow x equals 8 space c m

Answered by Vimala Ramamurthy | 20th Aug, 2015, 08:54: AM

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