Question

The sides of a triangle are in the ratio $4:6:11$. Which of the following words best described the triangle?

• A. Obtuse
• B. Isoceles
• C. Acute
• D. Impossible

Answer 1

The correct option is D Impossible

let consider

$a=4k,b=6k,c=11k$

$\cos A=\frac{121+36-16}{2\times 11\times 6}$

$\cos A=\frac{141}{132}>1$

and this is not possible ever

hence triangle is not possible