if triangle ABC is similar to triangle RPQ ,AB=3cm ,BC= 5cm ,AC= 6cm ,RP=6cm and PQ= 10cm , then find QR .

Asked by vaishnaviharne | 24th Oct, 2014, 07:08: AM

Expert Answer:

because increment A B C almost equal to increment R P Q comma I f space t w o space t r i a n g l e s space a r e space s i m i l a r comma space t h e n space c o r r e s p o n d i n g space s i d e s space a r e space p r o p o r t i o n a l. fraction numerator R P over denominator A B end fraction equals fraction numerator P Q over denominator B C end fraction equals fraction numerator R Q over denominator A C end fraction rightwards double arrow 6 over 3 equals 10 over 5 equals fraction numerator R Q over denominator 6 end fraction therefore 10 over 5 equals fraction numerator R Q over denominator 6 end fraction rightwards double arrow R Q equals fraction numerator 10 cross times 6 over denominator 5 end fraction rightwards double arrow R Q equals 12 space c m therefore Q R equals 12 space c m

Answered by Prasenjit Paul | 25th Oct, 2014, 12:28: AM