Construct a triangle PQR in which QR = 6cm, ∠ Q = 60° and PR – PQ = 2cm

Question

Construct a triangle PQR in which QR = 6cm, &#x2220; Q = 60&#xB0; and PR &#x2013; PQ = 2cm

Philoid · Accepted Answer

Steps of construction:

Step 1: Draw a ray QX and cut off a line segment QR = 6cm from it.

Step 2: Construct a ray QY making an angle of 60⁰ with QR and extend YQ to form a line YQY’

Step 3: Cut off a line segment QS = 2cm from QY’. And join RS.

Step 4: Draw a perpendicular bisector of RS intersecting QY at a point.

Step 5: PR is joined.

Thus, is the required triangle

Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm