Given Information:
- Triangle PQR
- ST is parallel to QR
- PS/SQ = 3/5
- PR = 28 cm

To Find:
- PT

Explanation:

Step 1: Identifying Similar Triangles
We can see that triangle PQR and triangle PST are similar triangles. This is because ST is parallel to QR, so the corresponding angles are equal.

Step 2: Using Proportionality Property
Since triangle PQR and triangle PST are similar, we can use the property of proportionality to find the value of PT.

We know that PS/SQ = 3/5. Let's assume that PT = x.

Using the property of proportionality, we can write the following equation:

PT/SQ = PR/QR

Substituting the values, we get:

x/SQ = 28/QR

Step 3: Finding the Value of SQ
To find the value of SQ, we can use the fact that PS + SQ = PR.

We know that PR = 28 cm and PS/SQ = 3/5.

Let's assume that PS = 3k and SQ = 5k.

Using the given information, we can write the following equation:

3k + 5k = 28

Simplifying the equation, we get:

8k = 28

Dividing both sides by 8, we get:

k = 28/8

k = 3.5

Therefore, SQ = 5 * 3.5 = 17.5 cm.

Step 4: Finding the Value of PT
Now that we know the value of SQ, we can substitute it back into the equation:

x/SQ = 28/QR

x/17.5 = 28/QR

Cross-multiplying the equation, we get:

x * QR = 17.5 * 28

x * QR = 490

Dividing both sides by QR, we get:

x = 490/QR

Step 5: Conclusion
We have found that PT = 490/QR.

Therefore, the value of PT depends on the value of QR. Without knowing the value of QR, we cannot determine the exact value of PT.

To find the value of PT, we need more information about the triangle, such as the lengths of QR or angles of the triangle.

Where is the figure??