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Q.

One angle of a triangle is greater than the sum of the other two. What type of a triangle is this?


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a

Obtuse triangle

b

Acute triangle

c

Right angled triangle

d

None of the above 

answer is A.

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Detailed Solution

It is given that one angle of a triangle is greater than the sum of the other two.
We know that an obtuse triangle is a triangle with one obtuse angle.
We can write that one angle of a triangle is greater than the sum of the other two.
Let us assume that the measure of the angles be x, y, z and so from the question we can write that.
x>y+z or  y>x+z or  z>x+y   x   or y   or z> 90 °  , which is obtuse.
The triangle is an obtuse angle.
Hence, the correct option is 1.
 
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