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Construct A Triangle Given Two Sides And An Angle

We now construct a triangle given two sides and an angle. 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.

 

 

 

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