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, ∠ ABC = 60˚ and ∠ BCA = 45˚.

Solution:

Step 1:

Using the steps described in constructing a 60˚ angle, we construct ∠ B = 60˚ and length of BC = 3 cm.

Step 2 :

To get ∠ C = 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.

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

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.