Question

АВС ~ А1 В1 С1. АВ = 9 см. A1 B1 = 12 см. Укажіть відношення В1 С1 до BC.​

Answer 1

Відповідь:

4/3

Покрокове пояснення:

Співвідношення відповідних сторін подібних трикутників - однакове

В1С1/ВС=А1В1/АВ=12/9=4/3

Answer 2

Problem Analysis

We are given the lengths of three line segments, AB, A1B1, and A1C1, and we need to find the ratio of B1C1 to BC.

Given Information

- AB = 9 cm - A1B1 = 12 cm

Finding the Ratio

To find the ratio of B1C1 to BC, we need to determine the lengths of B1C1 and BC.

Since we are not given the length of BC directly, we need to find it using the given information. We can use the Pythagorean theorem to find the length of BC.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we can consider triangle ABC, where AB is the hypotenuse. We know the lengths of AB and A1B1, so we can find the length of BC using the Pythagorean theorem.

Let's calculate the length of BC:

BC^2 = AB^2 - A1B1^2

Substituting the given values:

BC^2 = 9^2 - 12^2

BC^2 = 81 - 144

BC^2 = -63

Since the result is negative, it means that the given lengths do not form a valid triangle. Therefore, we cannot determine the ratio of B1C1 to BC.

Conclusion

Based on the given information, we cannot determine the ratio of B1C1 to BC because the given lengths do not form a valid triangle.

Please let me know if there is anything else I can help you with.