Question

I could really use help with this someone

Answer 1

The missing side QR is 22.

Similar sides of two triangles

The ratio of similar sides in a similar triangles can be used to determine the length of an unknown side. This is because, the corresponding sides of the similar sides of a triangle are equal.

From the given triangles, we can say:

|FG| = |FQ|

|GH| = |QR|

Using the ratio of similar triangles;

`(FG)/(FQ)=(GH)/(QR)`

`(35)/(14)=(55)/(QR)`

35 × QR = 14 × 55

`QR = (14 * 55)/(35)`

QR = 22