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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˚.


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).

Construct a triangle given one length and two angles


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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