Question

Помогите пожалуйста!!! Стороны АВ и ВС треугольника АВС пропорциональны сходственным сторонам А1 В1 и В 1С 1 подобного треугольника А 1 В 1 С 1 . АВ : А1 В1 = 1 : 4. Чему равно отношение ВС : В 1С 1 ?

Answer 1

Ответ:

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Объяснение:

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Answer 2

Proportional Sides of Similar Triangles

When the sides of two triangles are proportional, it indicates that the triangles are similar. In this case, the sides of triangle ABC are proportional to the corresponding sides of triangle A1B1C1. The given ratio of AB to A1B1 is 1:4.

The question asks for the ratio of BC to B1C1. To find this ratio, we can use the property of similar triangles that corresponding sides are in proportion.

To find the ratio of BC to B1C1:

We can use the fact that the sides of similar triangles are in proportion to find the ratio of BC to B1C1. Since AB to A1B1 is 1:4, we can use this ratio to find the ratio of BC to B1C1.

The ratio of corresponding sides of similar triangles is equal, so we can set up the following proportion:

AB / A1B1 = BC / B1C1

Now, we can solve for the unknown ratio of BC to B1C1 using the given ratio of AB to A1B1.

Calculation:

Given: AB : A1B1 = 1 : 4

We can use this ratio to find the ratio of BC to B1C1:

1/4 = BC / B1C1

To find the value of BC / B1C1, we can cross-multiply:

1 * B1C1 = 4 * BC

This simplifies to:

B1C1 = 4 * BC

So, the ratio of BC to B1C1 is 1:4.

This means that the length of BC is one-fourth the length of B1C1 in the similar triangles ABC and A1B1C1.