Question

Use the diagram shown If AD = 25. BF = 10, and DF = 10, then what is the value of AB?

Answer 1

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Answer 2

If AD = 25. BF = 10, and DF = 10, then the value of AB is 25.

Step-by-step explanation:

To find the value of AB, we can use the fact that triangles ADF and ABF are similar.

The length of AD is given as 25, and the length of DF is given as 10. Since triangles ADF and ABF are similar, the ratio of corresponding sides must be equal.

So, we can set up the proportion:

AD/DF = AB/BF

Substituting the given values:

25/10 = AB/10

Simplifying the proportion:

2.5 = AB/10

To solve for AB, we can cross-multiply:

2.5 * 10 = AB

25 = AB

Therefore, the value of AB is 25.