Construct A Triangle Given One Side And Two Angles
In this lesson, we will learn how to construct a triangle when given two angles and the side between them (ASA).
Example :
Construct a triangle ABC, given that BC is 3 cm, 
= 60˚ and 
= 45˚.
Solution:
Step 1:
Using the steps described in constructing a 60˚ angle, we construct 
= 60˚ and length of BC = 3 cm.
Step 2 :
To get 
= 45˚, we have to first get a 90˚ angle and then bisect it to 45˚. Using the steps described in Section 1.5, we construct a line perpendicular (90˚) to BC and passing through C. Then, we construct an angle bisector for the right angle to complete the construction of angle ABC.
This video shows how to construct a triangle given two angles and the length of the side in between (ASA).
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