Question

Which one of the following cannot be the ratio of angle in a right angled triangle?

• A. $1:2:3$
• B. $1:1:2$
• C. $1:3:6$
• D. None of these

Answer 1

The correct option is C $1:3:6$

$\left(A\right)1:2:3\Rightarrow 6x={180}^{\circ }$ $x=30$ angles are ${90}^{\circ },{60}^{\circ },{30}^{\circ }$

$\left(B\right)1:1:2\Rightarrow 4x=180$ $x=45$ angles ${45}^{\circ },{45}^{\circ },{90}^{\circ }$

$\left(C\right)1:3:6\Rightarrow 10x=180$ $x={18}^{\circ }$ angles $={18}^{\circ },{54}^{\circ },{96}^{\circ }$