1. The problem states that two triangles are similar, meaning their corresponding sides are proportional.
2. The first triangle has sides 2, 3, and 5. The second triangle has sides $x$, 6, and 10.
3. Since the triangles are similar, the ratios of corresponding sides are equal:
$$\frac{x}{2} = \frac{6}{3} = \frac{10}{5}$$
4. Simplify the known ratios:
$$\frac{6}{3} = 2 \quad \text{and} \quad \frac{10}{5} = 2$$
5. So, the ratio of similarity is 2. Therefore:
$$\frac{x}{2} = 2$$
6. Solve for $x$:
$$x = 2 \times 2 = 4$$
7. The value of $x$ is about 4, which corresponds to option a.
Similar Triangles
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