Three villages P, Q, and R are located in such a way that the distance PQ = 13…

GATE · 2025 · CE · Set 2 · General AptitudeGATE · 2025 · MN · General AptitudeGATE · 2025 · ST · General AptitudeGATE · 2025 · XE · General AptitudeGATE · 2025 · XL · General Aptitude

Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?

Note: The figure shown is representative.

Triangle PQR and road diagram.
  1. A.

    10.5

  2. B.

    11.0

  3. C.

    12.0

  4. D.

    12.5

Attempted by 3 students.

Sign up free to check your answer

Sign up free

Explore the full course: Aptitude For Gate

Loading lesson…