Question

Зная что BA=2*BC,EA=2*ED,BE=12 треугольники подобные.Найдите DC длину​

Answer 1

Ответ:1. Три стороны одного треугольника пропорциональны трём сторонам другого

2. Из пропорции

AB:BC = DA:CE

CE = DA:AB*BC = 3/4*2 = 1.5

Пошаговое объяснение:

Answer 2

To solve this problem, let's denote the length of DC as x.

Since the triangles are similar, we can set up ratios based on the corresponding sides of the triangles:

BA/BC = EA/ED

Substituting the given values, we have:

2BC/BC = 2ED/ED

2 = 2

This equation is true and does not provide any useful information about the length of DC. Therefore, we need to use another ratio.

Let's consider the ratio of the corresponding sides of the two triangles:

BE/BC = EA/ED

Substituting the given values, we have:

12/BC = 2*ED/ED

Simplifying this equation, we get:

12/BC = 2

Now, we can solve for BC:

12 = 2 * BC

Dividing both sides by 2, we have:

BC = 6

Since DC is twice the length of BC, we can find its value:

DC = 2 * BC = 2 * 6 = 12

Therefore, the length of DC is 12.