Triangles ABC and A1B1C1 are similar, and their sides BC and B1C1 are similar. The height AD of triangle

univerkov | June 10, 2021 | education

Triangles ABC and A1B1C1 are similar, and their sides BC and B1C1 are similar. The height AD of triangle ABC refers to its side BC as 2: 3. Find the ratio of the side C1B1 of triangle A1B1C1 to its height A1D1.

By condition, triangles ABC and A1B1C1 are similar, and sides BC and B1C1 are similar sides of similar triangles. The heights of BP and A1D1 are drawn to similar sides of similar triangles, then the ratio of BP / BC = A1D1 / B1C1 = 2/3.

Then the ratio B1C1 / A1D1 = 3/2 = 1.5.

Answer: The ratio of the B1C1 side to the A1D1 height is 3/2.

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