Question

Can some help? or at least explain how to solve how to solve for the missing length?

Answer 1

This image shows two similar triangles, which can be expressed as:

`\Delta1=k\Delta2`

in which K is the constant of similarity, this can be obtain by making the proportion on 2 sets of corresponding sides.

`(12)/(28)=(x)/(49)`

solve the relationship for x

`\begin{gathered} x=(12\cdot49)/(28) \\ x=21 \end{gathered}`

Now this 21 is the corresponding measurement of the side in the smaller triangle, however the questions ask for the portion thats between the vertex at the top and the vertex at the top for the smaller triangle, to find this measurement we find the difference between the sides.

`\begin{gathered} 49-21=\text{?} \\ 28=\text{?} \end{gathered}`

The missing length is 28.