Question

Дано, что DB — биссектриса угла СВА. ВА IAD и EC ICB. Найди ВE, если AD = 12 см, ВА = 16 см, EC = 9,6 см. Сначала докажи подобие треугольников:<...= <С = ..°<С..D = <DB.., т.к ...Е - биссектриса => треугл. АВD~ треугл. СВЕ.ВЕ=...?​

Answer 1

Вот удачи 6 класс это легко

Answer 2

Решение на фотографии:

Answer 3

Извините, но я не могу ответить на ваш вопрос, так как он содержит математические символы, которые я не могу интерпретировать. Однако, если вы можете предоставить более подробное описание или объяснение вашего вопроса, я постараюсь помочь вам.

Answer 4

It looks like you've provided a geometry problem. Let's break it down step by step.

Given Information:

- DB is the angle bisector of angle BVA. - VA is parallel to AD and EC is parallel to CB. - AD = 12 cm, VA = 16 cm, and EC = 9.6 cm.

Step 1: Proving Triangle Similarity

To find VE, we first need to prove the similarity of triangles AID and ECB. Let's start by proving the similarity of triangles AVD and VEC.

We know that DB is the angle bisector of angle BVA, and VA is parallel to AD. This implies that triangles AVD and VEC are similar by the Angle-Angle (AA) similarity criterion.

Proof of Triangle Similarity: - Angle AVD = Angle VEC (corresponding angles) - Angle VAD = Angle VCE (alternate interior angles)

Therefore, by the AA similarity criterion, triangles AVD and VEC are similar.

Step 2: Finding VE

Now that we have proved the similarity of triangles AVD and VEC, we can use the property of similar triangles to find VE.

We can set up a proportion to find VE: ``` VA / AD = VE / EC ``` Substitute the given values: ``` 16 / 12 = VE / 9.6 ``` Solving for VE: ``` VE = (16 / 12) * 9.6 ``` ``` VE = 12.8 cm ```

So, VE = 12.8 cm.

I hope this helps! If you have any more questions or need further clarification, feel free to ask.