Question

MB=6, BN=4, MN=5, AC=10 найти: AB и NC

Answer 1

ΔMBN= ΔCBA

MB/CB= BN/BA= MN/CA

6/BC= 4/BA= 5/10

5BC= 4*10

5BC= 60

BC= 60/5

BC=12

CN= BC-BN= 12-4=8

5AB= 4*10

5AB= 40

AB= 40/5

AB=8

Answer 2

To find the lengths of AB and NC, we can use the triangle inequality theorem, which states that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's consider triangle ABC:

1. AB + AC > BC
2. AB + BC > AC
3. AC + BC > AB

Given the following values:

MB = 6 BN = 4 MN = 5 AC = 10

We need to find AB and NC.

1. For AB: Using the information given, we can see that BN is part of AB and BC is part of AC.

AB + AC > BC AB + 10 > BN + BC AB + 10 > 4 + 6 AB + 10 > 10 AB > 10 - 10 AB > 0

So, we can conclude that AB is greater than 0. However, without additional information about the relationship between the segments MB, BN, and MN, we cannot determine the exact length of AB.

2. For NC: Using the information given, we can see that MB is part of NC and BC is part of AC.

NC + AC > BC NC + 10 > MB + BC NC + 10 > 6 + 6 NC + 10 > 12 NC > 12 - 10 NC > 2

So, we can conclude that NC is greater than 2. However, similar to AB, without additional information about the relationship between the segments BN, MN, and NC, we cannot determine the exact length of NC.

In summary, based on the given information, we can only say that AB is greater than 0, and NC is greater than 2. We would need more information or measurements to determine their exact lengths.