In triangle ABC, if angle B is a right angle and BM is an altitude, then triangle ABC is similar to
 
a) triangle MBC
b) triangle ACB
c) triangle ABC
d) triangle CAB
 

Asked by jhilmilsoma | 2nd Aug, 2015, 11:13: AM

Expert Answer:

C o n s i d e r space t h e space a b o v e space f i g u r e. I n space t r i a n g l e space A B C comma space l e t space angle B A C equals x S i n c e space A B C space i s space a space r i g h t space a n g l e d space t r i a n g l e comma space angle B C A equals 90 degree minus angle B A C equals 90 degree minus x A g a i n space i n space t r i a n g l e space B M C comma space angle B M C equals 90 degree T h u s comma angle M B C equals 90 degree minus angle M C B equals 90 degree minus angle B C A equals 90 degree minus open parentheses 90 degree minus x close parentheses equals 90 degree minus 90 degree plus x equals x T h e r e f o r e comma space i n space t r i a n g l e s space A B C space a n d space B M C comma angle M B C equals angle B A C equals x angle A B C equals angle B M C equals 90 degree angle A C B equals angle B C M equals 90 degree minus x T h e r e f o r e comma space t r i a n g l e space A B C space i s space s i m i l a r space t o space t r i a n g l e space B M C

Answered by Vimala Ramamurthy | 2nd Aug, 2015, 10:25: PM

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