The sides of a triangle are in the ratio 4 : 6 : 8. The triangle is a/an:
Answer & explanation
Correct answer: option 2
If the sum of squares of the smaller sides is less than the square of the largest side, then it is an obtuse triangle.
Calculations
\( {4x }^{2 } \) + \( {6x }^{2 } \) \(<\) \( {8x }^{2 } \)
⇒ \( {52x }^{2 } \) \(<\) \( {64x }^{2 } \)
Therefore, the triangle is an obtuse triangle.