question_answer

Construct \[\Delta \]ABC, given m \[\angle \]A =\[60{}^\circ \], m\[\angle \]B = \[30{}^\circ \] and AB = 5.8 cm.

Answer:

Given, AB = 5.8 cm, m ZA == 60° and m ZB =\[30{}^\circ \].

To construct a triangle with one side and two angles, we use the following steps:

Step I: Firstly, we draw a rough sketch with measures marked on it.

Step II: Draw a line segment AB = 5.8 cm,

Step III: At point A, draw a ray AX making an angle of 60° with AB.

Step IV: At point B, draw a ray by making an angle of 30° with AB.

Step V: Let rays AX and BY intersect at C,