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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


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

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 122 + 52 = 132
So, it is a Right-angled triangle.
Hence, the correct answer is 'Right-angled triangle'.

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