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
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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