Question

The measures of three angles of a triangle are in the ratio $1:2:3$. Then the triangle is

Answer 1

Categories the triangle.

Let the three angles of a triangle be $x,2x,3x$.
Sum of angles of a triangle is $180°$
Then,

$$\begin{gathered} x+2x+3x=180 \\ \Rightarrow 6x=180 \\ \therefore x=30 \end{gathered}$$
The angles are $30°,2\times 30°,3\times 30°=30°,60°,90°$

Hence, the triangle is a right-angled triangle.