Question

Measures of angles of a triangle are x, 2x, 3x. What type of triangle is it?

Answer 1

Measures of angles of a $\Delta \equiv x,2x,3x$

We know that sum of angles of a $\Delta ={180}^{\circ }$

$\Rightarrow x+2x+3x={180}^{\circ }$

$\Rightarrow 6x={180}^{\circ }$

$\Rightarrow x=30$

$\therefore$ Angles are $\to {30}^{\circ },{60}^{\circ }and{90}^{\circ }$

Now, since one angle is ${90}^{\circ }$

$\Rightarrow$ It is a right angled triangle