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Construct A Triangle Given Two Sides And An Angle




 
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More Lessons for Grade 6

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In this lesson, we will learn how to construct a triangle given two sides and an angle between them (SAS). In order for the triangle to be unique, the angle given must be between the two given sides.

Example:

Construct a triangle PQR given that PQ = 4 cm, PR = 5 cm and = 120˚.

Solution:

Step 1:

We construct a 60˚ angle and get the supplementary angle, which is 120˚.


Step 2 :

We construct 2 line segments of 4 cm and 5 cm from P respectively. Then, draw a line from Q to R to form the triangle.

This video shows how to construct a triangle given two sides and the included angle (SAS).




Construction: Triangle - 2 Sides, 1 Angle
A demonstration of how to construct a triangle, give the lengths of two sides and the angle between them.


 

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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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