Question

№372 На луче АМ отложили отрезки АВ и АС,АС=89 см. Найдите длину отрезка ВС,если: а)АВ на 15 см длиннее АС б)АВ на 15 си короче АС ПОМОГИТЕ СРОЧНО(

Answer 1

А) Т.к. АС=89, а АВ-больше на 15 (по условию), то АВ=89+15=104
б) Т.к.АС=89, а АВ- меньше на 15 (по условию), то АВ=89-15=74

Answer 2

Problem Analysis

We are given a line segment AB on line AM, and two line segments AC and AS. We need to find the length of line segment CS under two conditions: a) AB is 15 cm longer than AC. b) AB is 15 cm shorter than AC.

Solution

Let's analyze the problem step by step.

Given Information

- Line segment AC = 89 cm.

Case a) AB is 15 cm longer than AC

In this case, we need to find the length of line segment BC.

Let's assume the length of AB is x cm. According to the given information, AB is 15 cm longer than AC. So we can write the equation:

AB = AC + 15

Substituting the given values, we have:

x = 89 + 15

Simplifying, we find:

x = 104

Therefore, the length of AB is 104 cm.

To find the length of BC, we can use the equation:

AB = AC + BC

Substituting the values, we have:

104 = 89 + BC

Simplifying, we find:

BC = 104 - 89 = 15

Therefore, the length of BC is 15 cm.

Case b) AB is 15 cm shorter than AC

In this case, we need to find the length of line segment BC.

Let's assume the length of AB is y cm. According to the given information, AB is 15 cm shorter than AC. So we can write the equation:

AB = AC - 15

Substituting the given values, we have:

y = 89 - 15

Simplifying, we find:

y = 74

Therefore, the length of AB is 74 cm.

To find the length of BC, we can use the equation:

AB = AC + BC

Substituting the values, we have:

74 = 89 + BC

Simplifying, we find:

BC = 74 - 89 = -15

Since the length of a line segment cannot be negative, we can conclude that there is no solution for this case.

Summary

- In case a) where AB is 15 cm longer than AC, the length of BC is 15 cm. - In case b) where AB is 15 cm shorter than AC, there is no solution.

Therefore, the length of line segment BC depends on the given conditions.

Please let me know if I can help you with anything else.