Question

The steps for constructing a triangle PQR with the given sides PQ = 5 ft, PR = 4 ft and QR = 3 ft (Scale: 1 in : 1 ft) are :

Step 1 : Draw a line segment PQ of length 5 in.

Step 2 : Taking P as centre and radius of 4 inches, draw an arc above PQ.

Step 3 : ?

Step 4 : Join PR and QR.

• A. From Q, draw an arc of radius of 5 inches so that the two arcs intersect at a point which is marked as R.
• B. From Q, draw an arc of radius of 3 inches so that the two arcs intersect at a point which is marked as R.
• C. From Q, draw an arc of radius of 6 inches so that the two arcs intersect at a point which is marked as R.
• D. From Q, draw an arc of radius of 4 inches so that the two arcs intersect at a point which is marked as R.

Answer 1

The correct option is B From Q, draw an arc of radius of 3 inches so that the two arcs intersect at a point which is marked as R.

Given:
Scale : 1 in = 1 ft
So,
Length of side PR = 4 in
Length of side QR = 3 in
Length of side PQ = 5 in

Hence, the step will be:
Step 1: Draw a line segment PQ of length 5 in.



Step 2 : Taking Q as centre draw an arc of radius of 4 inches such that the two arcs intersect each other.



Step 3: Taking Q as centre draw an arc of radius of 3 inches such that the two arcs intersect each other. Mark the point as R.


Step 4: Join QR and PR.