1. Constructing a triangle
Tuesday, 09 April 2019
Constructing a triangle
given two sides and one angle

2. Construct triangle ABC when 𝐴𝐵 = 10cm, 𝐴 𝐵 𝐶=50° and B𝐶 =5cm
Example
Construct triangle ABC when 𝐴𝐵 = 10cm, 𝐴 𝐵 𝐶=50° and B𝐶 =5cm
Measure and write down the size of angle BAC C
Step 1 draw the line AB = 10cm
Step 2 place the protractor onto B and measure 50 degrees
Step 3 setting your compasses to 5cm place them on point B and draw another arc which intersects the line drawn
The point of intersection is point C
The triangle is completed by drawing lines from C to A and C to B A B

3. Construct triangle LMN when 𝐿𝑀=6.5cm, L 𝑀 𝑁=125° and MN =7cm
Example
Construct triangle LMN when 𝐿𝑀=6.5cm, L 𝑀 𝑁=125° and MN =7cm
Measure and write down the size of angle 𝑀 𝐿 𝑁 N L M

4. Construct triangle XYZ when 𝑋𝑌=8.1cm, 𝑌 𝑋 𝑍=73° and 𝑌𝑍=9.4cm
Example
Construct triangle XYZ when 𝑋𝑌=8.1cm, 𝑌 𝑋 𝑍=73° and 𝑌𝑍=9.4cm
Measure and write down the length of the line XZ Z X Y