Question1-After deducating a commission of 5%,a moped costs rupees 15200.What is its gross value?
 
Question2-How can we make 45,30,25,60 and 90 degrees in constructions?
 
Question3-Triangle ABC is an isosceles right triangle in which angle A=90 degree and BC=6cm.Then AB=?

Asked by shailjashubham | 29th Nov, 2014, 01:46: PM

Expert Answer:

left parenthesis 1 right parenthesis L e t space R s.100 space b e space t h e space g r o s s space v a l u e space o f space a space m o p e d. C o m m i s s i o n space p e r c e n t a g e equals 5 % T h u s comma space cos t space o f space t h e space m o p e d equals R s.100 minus R s.5 equals R s.95 I f space cos t space o f space t h e space m o p e d space i s space R s.95 space t h e n space t h e space g r o s s space v a l u e space i s space R s.100 T h u s comma space i f space cos t space o f space t h e space m o p e d space i s space R s.15200 comma space t h e n space t h e space g r o s s space v a l u e equals 100 over 95 cross times 15200 equals R s.16000 left parenthesis 3 right parenthesis C o n s i d e r space t h e space t r i a n g l e space A B C. G i v e n space t h a t space a n g l e space A equals 90 degree T h e r e f o r e comma space g r e a t e s t space a n g l e space i n space t h e space t r i a n g l e space i s space 90 degree H e n c e space t h e space s i d e space B C space o p p o s i t e space t o space a n g l e space A space i s space t h e space g r e a t e s t space s i d e. T h a t space i s comma space B C space i s space t h e space h y p o t e n u s e space o f space t h e space r i g h t space t r i a n g l e space A B C S i n c e space t h e space t r i a n g l e space i s space a l s o space a n space i s o s c e l e s space t r i a n g l e comma space s i d e s space o f space t h e space t r i a n g l e space A B C space a r e space e q u a l. T h a t space i s space A B equals A C. L e t space A B equals A C equals a left parenthesis s a y right parenthesis B y space a p p l y i n g space P y t h a g o r a s space T h e o r e m comma space w e space h a v e comma A B squared plus A C squared equals B C squared rightwards double arrow a squared plus a squared equals 6 squared space space space space space space space open square brackets because B C equals 6 space c m close square brackets rightwards double arrow 2 a squared equals 36 space space space rightwards double arrow a squared equals 18 rightwards double arrow a squared equals 9 cross times 2 space rightwards double arrow a equals 3 cross times square root of 2 space end root rightwards double arrow A B equals 3 square root of 2

Answered by Vimala Ramamurthy | 30th Nov, 2014, 01:28: PM