Question 6

Which of the following is the CORRECT option for the triangles having sides in the ratio of 3:4:6?

Solution

Let the sides of $$\triangle$$ ABC be $$a,b,c$$, where the largest side = $$'c'$$

If $$c^2=a^2+b^2$$, then the angle at $$C$$ is right angle.

If $$c^2<a^2+b^2$$, then the angle at $$C$$ is acute angle.

If $$c^2>a^2+b^2$$, then the angle at $$C$$ is obtuse angle.

Now, according to ques, => $$6^2=36$$

and $$3^2+4^2=9+16=25$$

$$\therefore c^2>a^2+b^2$$, hence it is an obtuse angled triangle.

=> Ans - (B)

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