Question

Срочно надо помогите плиз. В триугольнике АВС, АВ/ВС=2/3, ВН-высота и =6 см, угол С=30°. Найти АВ и ВС.

Answer 1

Вот решение на картинке
ответ: вс=12
ав=8

Answer 2

Task: Find the lengths of AB and BC in triangle ABC.

To find the lengths of AB and BC in triangle ABC, we can use the given information and apply trigonometry.

Given: - AB/BC = 2/3 - BN = 6 cm - ∠C = 30°

To find AB and BC, we can use the trigonometric ratios in a right triangle. Since BN is the height of the triangle, we can use the sine ratio.

Let's denote the length of AB as x and the length of BC as y.

Using the sine ratio, we have:

sin(∠C) = BN/BC

Substituting the given values:

sin(30°) = 6/y

Simplifying:

1/2 = 6/y

Cross-multiplying:

y = 12 cm

So, the length of BC is 12 cm.

Now, we can use the given ratio AB/BC = 2/3 to find the length of AB.

AB/BC = 2/3

Substituting the values:

x/12 = 2/3

Cross-multiplying:

3x = 24

Dividing by 3:

x = 8 cm

So, the length of AB is 8 cm.

Therefore, the lengths of AB and BC in triangle ABC are AB = 8 cm and BC = 12 cm.

Please let me know if you need any further assistance!