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Grade: 11
        
in the figure shown arc ab=3, arc bc=5, arc ac=10 then anle a,b and c are
2 years ago

Answers : (2)

Sourabh Singh
IIT Patna
askIITians Faculty
2098 Points
							Hii

You can use cosine law of trinagle in order to find out the angles of triangle.

Cosine law of triangle is

243-102_capture.PNG
2 years ago
DR STRANGE
212 Points
							 
HI ISHITA,
SO THIS TIME YOU GAVE DIAGRAM.
 HERE IS THE SOLUTION,
AGAIN, JUST SUM THE LENTHS OF ARCS, 3+5+10=18,
NOW FIND RATIO FOR EACH ARC,
FOR ARC AB ,=3/18
FOR ARC BC, =5/18
FOR ARC CA, =10/18
WE KNOW SUM OF ALL ANGLES OF A TRIANGLE 1800.
SO \angle A= (3/18)\times180^{0} \angle A= (3/18)\times180^{0} = 30^{0}
AGAIN  YOU CAN FIND \angle B AND \angle C BY JUST MULTIPLYING THE RATIO WITH 1800.
YOU WILL GET \angle B=100^{0} \angle C=50^{0}
WELL COULD HAVE FOUND THE ANSWER FROM THE PREVIOUS QUESTION,I WILL TELL YOU A PROPERTY, THE RELATION BETWEEN THE ANGLE SUBTENDED BY AN ARC AT THE CENTER OF THE CIRCLE IS DOUBLE OF THE ANGLE MADE BY SAME ARC AT ANY POINT ON THE CIRCLE.
IN THE PREVIOUS SOLUTION I GOT ANGLE A = 60JUST MULTIPLY BY ½ IT MATCHES WITH MY THIS QUESTION ,
I HOPE YOU UNDERSTOOD, DONT FORGET TO APPROVE :P
HAVE A GOOD DAY :)
 
2 years ago
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