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The sides of a triangle are in the ratio 4 : 6 : 8. What type of triangle is it?

1. Isosceles triangle
2. Obtuse-angled triangle
3. Acute-angled triangle
4. Right-angled triangle

Correct answer: Obtuse-angled triangle

Solution

Taking sides as 4, 6, and 8 units: 8² = 64, while 4² + 6² = 16 + 36 = 52. Since 64 > 52, the angle opposite the longest side is greater than 90°, making this an obtuse-angled triangle. It is also scalene (all sides different), ruling out isosceles.

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