Anita is given a triangle PQR drawn on paper. She measures the base QR = 7 cm and angle Q = 55°, and she is told PQ + PR = 11 cm. To reconstruct triangle PQR by the sum-of-sides method, what total length must she first mark off along the ray from Q (after drawing angle Q)?

Question

Accepted Answer

11. In the sum-of-two-sides construction, the first cut along the ray from Q equals PQ + PR = 11 cm. The perpendicular bisector of the far point and R then fixes P.

Anita is given a triangle PQR drawn on paper. She measures the base QR = 7 cm and angle Q = 55°, and she is told PQ + PR = 11 cm.
To reconstruct triangle PQR by the sum-of-sides method, what total length must she first mark off along the ray from Q (after drawing angle Q)?

Step-by-Step Solution

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More Class 9 Constructions of Triangles practice

Anita is given a triangle PQR drawn on paper. She measures the base QR = 7 cm and angle Q = 55°, and she is told PQ + PR = 11 cm.To reconstruct triangle PQR by the sum-of-sides method, what total length must she first mark off along the ray from Q (after drawing angle Q)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Constructions of Triangles practice

Anita is given a triangle PQR drawn on paper. She measures the base QR = 7 cm and angle Q = 55°, and she is told PQ + PR = 11 cm.
To reconstruct triangle PQR by the sum-of-sides method, what total length must she first mark off along the ray from Q (after drawing angle Q)?