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Grade: 11
        if cos3A+cos3B+cos3C=1 then which type of triangle is it?

A)obtuse
B)acute
c)right angled triangle
D)none of these
8 years ago

Answers : (2)

SAGAR SINGH - IIT DELHI
879 Points
							

Dear student,

COS3B+COS3C+COS3A=1
COS3B+COS3C+COS3A-1=0
COS3(B+C)/2.COS3(B-C)/2-SIN^3A/2=0
SOLVING WE GET
COS3C/2.COS3B/2.COS3A/2=0
EITHER3C/2=
C=/3     THEREFORE TRIANGLE IS ACUTE ANGLED

8 years ago
Harditya
12 Points
							
The last part is wrong! 3c/2=pi
c=2pi/3
therefore triangle is obtuse
 
5 years ago
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