1. The problem states that two triangles are similar, meaning their corresponding sides are proportional. 2. Given the large triangle sides: 3.6, 2.8, and 5.2, and the smaller triangle has sides x, y, and 1.3. 3. Since the triangles are similar, the ratio of corresponding sides is the same. We can write: $$\frac{x}{3.6} = \frac{y}{2.8} = \frac{1.3}{5.2}$$ 4. Calculate the ratio using the known sides: $$\frac{1.3}{5.2} = 0.25$$ 5. Find x: $$x = 3.6 \times 0.25 = 0.9$$ 6. Find y: $$y = 2.8 \times 0.25 = 0.7$$ 7. Therefore, the values are $x=0.9$ and $y=0.7$. Answer: a. x = 0.9 y = 0.7