Question : If the sides of a triangle are in the ratio $3:1\frac{1}{4}:3\frac{1}{4}$, then the triangle is:
Option 1: Right-angled triangle
Option 2: Obtuse triangle
Option 3: Equiangular triangle
Option 4: Acute triangle
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Correct Answer: Right-angled triangle
Solution : Sides of a triangle are in the ratio $3:1\frac{1}{4}:3\frac{1}{4}$. $3:1\frac{1}{4}:3\frac{1}{4}$ = $3:\frac{5}{4}:\frac{13}{4}$ Multiplying all the ratios by 4, we get, = $12:5:13$ Since 12 2 + 5 2 = 13 2 So, it is a Right-angled triangle. Hence, the correct answer is 'Right-angled triangle'.
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