Question 6

Classify the triangle as a type of triangle if the sides of the triangle are 6, 12 and 13 units.

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, => $$13^2=169$$

and $$6^2+12^2=36+144=180$$

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

=> Ans - (C)


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