Two line segment AB and AC include an angle of `60^(@)`, where AB=5 cm and AC= 7 cm. Locate points P and Q on AB and AC, respectively such that `AP=(3)/(4)AB` and `AQ=(1)/(4)AC`. Join P and Q and measure the length PQ.

Explanation

To solve the problem step-by-step, we will follow the instructions given in the question and use the necessary geometric principles.

### Step 1: Draw the Diagram
1. Draw two line segments AB and AC such that they form an angle of 60 degrees between them.
2. Label the points: A at the vertex, B at the end of segment AB, and C at the end of segment AC.

### Step 2: Mark the Lengths of the Segments
1. Measure and mark the length of segment AB as 5 cm.
...