Question

3 точки BCD лежать на одной прямой ,известно что BD=17 см ,DC=25 см каким может быть растояние между точками

Answer 1

Если точки лежат на одной прямой, BD=17см, ВС=25 см, то возможны варианты:

1) В и С лежат по разные стороны от точки D. Тогда расстояние между В и С равно сумме BD и DC:

BC = BD + DC = 17 + 25 = 42 см

 

2) В и С лежат по одну сторону от точки D. Тогда расстояние между В и С равно разности DС и ВD (из большего вычитаем меньшее):

BC = DС - ВD = 25 - 17 = 8 см

  Ответ: 42 или 8 см

 

Answer 2

Solution for Finding the Distance Between Points B and C

To find the distance between points B and C when points B, C, and D lie on the same line, and it is known that BD = 17 cm and DC = 25 cm, we can use the concept of proportionality and the properties of similar triangles.

1. Using Proportionality to Find the Distance Between Points B and C: - Let's denote the distance between points B and C as x. - According to the given information, BD = 17 cm and DC = 25 cm. - We can set up a proportion to find the distance between points B and C: - BD/DC = BX/CX, where BX is the distance from B to the intersection point and CX is the distance from C to the intersection point. - Solving for x, we get: - 17/25 = (17+x)/x - 17x = 25(17 + x) - 17x = 425 + 25x - 8x = 425 - x = 53.125 cm

2. Calculation Result: - The distance between points B and C is 53.125 cm.

3. Conclusion: - Therefore, the distance between points B and C, when points B, C, and D lie on the same line, and BD = 17 cm and DC = 25 cm, is 53.125 cm.

(#1)