Practice Questions
1. Let's start with scale factors and enlargement. Suppose a triangle has sides 3 cm, 4 cm, and 5 cm. If the triangle is enlarged by a scale factor of 2, what are the lengths of the new sides?
2. Now, for the sine rule: In triangle ABC, angle A = 30°, side a = 10 cm, and angle B = 45°. Find the length of side b using the sine rule.
3. For the cosine rule: In triangle XYZ, sides x = 7 cm, y = 10 cm, and angle Z = 60°. Find the length of side z using the cosine rule.
These questions cover the concepts of scale factors and enlargement, sine rule, and cosine rule for practice.