Question

На сторонах АВ і АС трикутника АВС позначено відповідно точки N і М так, що AB/AN=AC/AM=3. NM=4 см. Знайдіть ВС.​

Answer 1

Ответ:BC=12 см

Объяснение:ABC подобен ANM по 1 признаку(угол А-общий)

BC=3 ×NM = 3×4=12 см

Answer 2

Given Information

We are given a triangle ABC, where points N and M are marked on the sides AB and AC respectively. It is also given that AB/AN = AC/AM = 3 and NM = 4 cm. We need to find the length of side BC.

Solution

To find the length of side BC, we can use the concept of similar triangles. Since AB/AN = AC/AM = 3, we can conclude that triangle ABC is similar to triangle ANM.

Let's denote the length of BC as x cm. Since triangle ABC is similar to triangle ANM, we can set up the following proportion:

AB/AN = BC/NM

Substituting the given values, we have:

3 = x/4

To solve for x, we can cross-multiply and solve for x:

3 * 4 = x

12 = x

Therefore, the length of side BC is 12 cm.