
CD=10 AD=22 BD=8 AC=?


Ответы на вопрос




To find the value of AC, we can use the properties of triangles and the given information about the lengths of the sides.
We are given the following information: CD = 10 AD = 22 BD = 8
To find AC, we can use the fact that the sum of the lengths of two sides of a triangle is always greater than the length of the third side. This is known as the triangle inequality theorem.
In triangle ADC, we have: AC + CD > AD AC + 10 > 22
Subtracting 10 from both sides, we get: AC > 12
Similarly, in triangle BDC, we have: BD + CD > BC 8 + 10 > BC 18 > BC
Now, in triangle ABC, we have: AC + BC > AB AC + 18 > AB
We are not given the length of AB, so we cannot determine the exact value of AC. However, we can determine the minimum value of AC based on the information we have.
From the inequality AC + 18 > AB, we can say that AC > AB - 18. Since AB is the sum of AD and BD, we have AB = AD + BD = 22 + 8 = 30.
Therefore, AC > 30 - 18 = 12.
So, the minimum value of AC is 12.


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