Constructing Triangles Construct these triangles using a ruler, compasses and protractor. Section A (SSS Triangles) 1. ∆ABC: Length AB=10cm, Length AC=4cm, Length BC=8cm. 2. ∆ABC: Length AB=11cm, Length AC=9cm, Length BC=4cm. Label angle A. What is the size of angle A? 3. ∆PQR: Length PQ=3cm, Length QR=7cm, Length PR=5cm. Label angle P. What type of angle is P? Section B (SAS Triangles) 4. ∆PQR: Length PQ= 4cm, Angle P= 120°, Length PR= 6cm. Label length QR. What is length QR? Measured to one decimal place (1 d.p.) 5. ∆XYZ: Length XY= 9cm, Length XZ= 10cm, Angle X= 30°. Label length YZ. What is length YZ? 6. ∆ABC: Length AB= 8cm, Length AC= 8cm, Angle A = 37°. Label length BC. What is length BC? Hence what type of triangle is ∆ABC? Section C (ASA Triangles) 7. ∆ABC: Length AB=6cm, Angle A = 20°, Angle B = 140°. What is the size of angle A? What type of triangle is ABC? Therefore can you find out the length of BC without measuring it? 8. ∆XYZ: Length XY= 6cm, Angle Y = 40° Angle X = 50° What is the size of angle Z? What type of triangle is XYZ? 9. ∆RST: Length RS = 9cm Angle S = 60˚ Angle R = 60˚ What is the size of angle T? What type of triangle is ∆RST? Therefore how long are the other sides of the triangle without measuring them? Section D 10. Why is it impossible to draw this triangle? HINT: Try constructing the triangle. HINT: Imagine reflecting the triangle along its horizontal base. What can you say about the shape made from the two triangles? Try drawing the triangle.