Use ruler and a pair of compasses to construct a triangleABC in which BC=7.5cm, angle ABC =60 degree,AC-AB=1.5cm. Construct a circle of radius 2 cm to touch the arms of angle ACB.

Asked by imabhi264 | 2nd Dec, 2016, 10:08: PM

Expert Answer:

 
begin mathsize 16px style S t e p s colon
1 right parenthesis space D r a w space B C space equals space 7.5 space c m
2 right parenthesis space A t space B comma space d r a w space angle X B C equals 60 degree
3 right parenthesis space P r o d u c e space X B space t o space T space t o space f o r m space l i n e space X B T
4 right parenthesis space f r o m space r a y space B T comma space c u t minus o f f space l i n e space s e g m e n t space B S space equals space 1.5 space c m
5 right parenthesis space J o i n space S C
6 right parenthesis space D r a w space p e r p e n d i c u l a r space b i s e c t o r space o f space S C space w h i c h space c u t s space B X space a t space A.
7 right parenthesis space J o i n space A C space t o space o b t a i n space r e q u i r e d space t r i a n g l e space A B C.
8 right parenthesis space D r a w space a n g l e space b i s e c t o r s space o f space angle B space a n d space angle C.
9 right parenthesis space L e t space t h e m space i n t e r s e c t space a t space p o i n t space P.
10 right parenthesis space A t space p o i n t space P space a n d space r a d i u s space 2 space c m comma space d r a w space a space c i r c l e space w h i c h space t o u c h e s space t h e space a r m s space o f space t r i a n g e l space A B C. end style

Answered by Rashmi Khot | 5th Dec, 2016, 03:11: PM