Similar Triangles Analysis: Comparing Two 3-4-5 Triangles

Match sides by length order! Compare the shortest side of triangle 1 to the shortest side of triangle 2, then middle to middle, and longest to longest. In this case: 3↔3, 4↔4, 5↔5.

Two triangles are similar when all corresponding angles are equal OR when all corresponding sides are proportional. If one condition is true, the other automatically follows!

Yes! Both are 3-4-5 right triangles - a famous Pythagorean triple. Since $3^2 + 4^2 = 5^2$, these are right triangles with the same angle measures.

They would still be similar! For example, triangles with sides 6-8-10 and 3-4-5 are similar because $\frac{6}{3} = \frac{8}{4} = \frac{10}{5} = 2$.

Yes, always check all ratios! If even one pair of corresponding sides has a different ratio, the triangles are not similar. All three ratios must be equal.