Question

In a right triangle having angles of ${30}^o$ and ${60}^o$, the ${60}^o$ angle is bisected. What is the ratio of the segments into which the angle bisector divides the opposite leg?

• A. 2:3
• B. 3:4
• C. 1:2
• D. 3:5
• E. 2:5

Answer 1

The correct option is C 1:2

• If the $60$ degrees angle is bisected , It divides the triangle into two triangles
  
• one triangle has angles $90,30,60$ and the other has $120,30,30$
• The ratio asked in question is equal to $1:2$