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Home Aptitude Plane Geometry See What Others Are Saying!
  • Question
  • In the given figure ?QPR = 90°, QR = 26 cm, PM = 6 cm, MR = 8 cm and ?PMR = 90°, find the area of ?PQR.


  • Options
  • A. 180 cm2
  • B. 240 cm2
  • C. 120 cm2
  • D. 150 cm2

  • Correct Answer
  • 120 cm2 

    Explanation

    Given in the question, QR = 26 cm, PM = 6 cm, MR = 8 cm
    According to question, in ? PMR
    (Pythagoras Theorem)
    PR = ?PM2 + MR2 = ?36 + 64 = ? 100 = 10 cm
    According to question, in ? PQR
    (Pythagoras Theorem)
    PQ = ?QR2 - PR2 = ?262 - 102 = ?576 - 100 = ? 476 = 24
    ? area of triangle ?PQR = Base length x Height / 2
    ? area of triangle ?PQR = PR x PQ / 2
    ? area of triangle ?PQR = 10 x 24 / 2 = 10 x 12
    ? area of triangle ?PQR = 120


  • More questions

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    • A. 31/32
    • B. 1/32
    • C. 1/5
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    • Discuss
    • 2. 
      Find the maximum number of tree which can plant 20 m apart on the two side of straight road 1760 m long

    • Options
    • A. 174
    • B. 176
    • C. 180
    • D. 178
    • Discuss
    • 3. 
      1307 x 1307 =?

    • Options
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    • B. 1607249
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    • 4. 
      The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii?

    • Options
    • A. 5 meter
    • B. 7 meter
    • C. 8 meter
    • D. 44 meter
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    • 5. 
      (1/2 ÷ 4 + 20) / (1/2 x 4 + 20) =?

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    • A. 81 / 88
    • B. 23/11
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    • D. 1
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    • 6. 
      Find the cardinal number of the following set {x: x = 2n, n ? N, 4 ? x ? 11}

    • Options
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    • 7. 
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    • 8. 
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    • Options
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    • Options
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