Question

I need help..... I don't have a clue what this could be.. please help me.. it's due tomorrow....

Answer 1

`(5)/(4)`

Step-by-step explanation

We have that the triangle on the right is a scaled copy of that on the left.

Since it is a scaled copy, the two triangles are similar.

To find the scale factor, we have to divide the corresponding side length of the triangle on the right by that on the left.

From the figure we see that one set of corresponding sides is 25/4 and 5.

Therefore, the scale factor is:

`\begin{gathered} (25)/(4)\text{ }/\text{ 5} \\ =\text{ }(25)/(4)\cdot\text{ }(1)/(5) \\ =\text{ }(5)/(4) \end{gathered}`

That is the scale factor.