Question

Look at the figure shown below:

Answer 1

I think she can use 48:(48+36) 

Answer 2

Answer:

The Answer is $\frac{48}{48+36}$

Step-by-step explanation:

Let me draw this triangle for you as you haven't drawn the triangle.

To find the side SR , you have shown that

ΔPST ~(is similar to)ΔPRQ [AA]

As, you know when triangles are similar their sides are proportional.

So, $\frac{60}{60+x}=\frac{48}{48+36}\\\frac{60}{60+x}=\frac{48}{84}\\\frac{60}{60+x}=\frac{4}{7}\\240 +4x=420\\4x=420-240\\4x =180\\x=45$

You can solve this question using other way also

As, ST║RQ

then $\frac{PS}{SR}=\frac{PT}{TQ}$⇒  [ if in a triangle a line is parallel to a side

intersecting the other two sides in distinct points then the ratio of the segments where the line segment intersects the other two sides are same.]

$\frac{48}{36}=\frac{60}{x}\\x=45$