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

Question

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 · Accepted Answer

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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Question : If the sides of a triangle are in the ratio 3:114:314, then the triangle is:Option 1: Right-angled triangleOption 2: Obtuse triangleOption 3: Equiangular triangleOption 4: Acute triangle

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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