Maths-
General
Easy
Question
If the sides of a triangle are in the ratio
then greatest angle is
Hint:
In this question, we have to find the angle of the greatest angle. As c is the greatest side so angle C is the greatest angle. As we know the sides ratio, so using the cosine formula we will find the angle of the greatest side.
The correct answer is: ![120 to the power of ring operator](data:image/png;base64,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)
As the ratio of the sides is ![x colon y colon square root of x squared plus x y plus y squared end root](data:image/png;base64,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)
a= x, b=y, c =![square root of x squared plus x y plus y squared end root](data:image/png;base64,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)
c is the largest side, so, C is the largest angle.
![cos space C space equals open parentheses fraction numerator a squared plus b squared minus c squared over denominator 2 a b end fraction close parentheses
space space space space space space space space space space space equals open parentheses fraction numerator x squared plus y squared minus open parentheses x squared plus x y plus y squared close parentheses over denominator 2 x y end fraction close parentheses
space space space space space space space space space space space equals open parentheses fraction numerator x squared plus y squared minus x squared minus y squared minus x y over denominator 2 x y end fraction close parentheses
space space space space space space space space space space space equals fraction numerator negative x y over denominator 2 x y end fraction
space space space space space space space space space space equals fraction numerator negative 1 over denominator 2 end fraction
rightwards double arrow cos space C equals cos space 120 degree
rightwards double arrow C equals 120 degree](data:image/png;base64,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)
So, the angle of the greatest angle is 120
.
Related Questions to study
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where are real and non-zero=
where are real and non-zero=
Maths-General
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Maths-General
Maths-
In ![straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
In ![straight triangle A B C text , if end text c squared equals a squared plus b squared comma 2 s equals a plus b plus c text then end text 4 s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
If tan
then the
is
If tan
then the
is
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
maths-
If the sides of triangles are then radius of the Circumcentre is
If the sides of triangles are then radius of the Circumcentre is
maths-General
Maths-
Maths-General
maths-
The function
satisfies
The function
satisfies
maths-General
maths-
1, then a=
1, then a=
maths-General
Maths-
If a,b,c are in A.P then
are in
If a,b,c are in A.P then
are in
Maths-General
Maths-
Maths-General
Maths-
Maths-General