Question

If the angles of a triangle are ${30}^{\circ },{60}^{\circ },{90}^{\circ }$, then what is the ratio of corresponding sides?

• A. $1:2:3$
• B. $1:1:\sqrt{2}$
• C. $1:\sqrt{3}:3$
• D. $1:\sqrt{2}:2$

Answer 1

The correct option is A $1:2:3$

Since the side opposite to the greatest angle is the greatest and the ratio of sides $=$ Ratio of corresponding angles

Thus, the ratio of corresponding sides $=30:60:90=1:2:3$.