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  • Question
  • PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm2) of the triangle PQR?


  • Options
  • A. 100?2
  • B. 100
  • C. 50?2
  • D. 50

  • Correct Answer
  • 100 

  • Tags: Bank Exams

    Area problems


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    • 1. Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?

    • Options
    • A. 196
    • B. 30?19
    • C. 40?17
    • D. 35?21
    • Discuss
    • 2. What is the area (in cm2) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

    • Options
    • A. 275/7
    • B. 550/7
    • C. 2200/7
    • D. 1100/7
    • Discuss
    • 3. If O is the orthocentre of a triangle ABC and ?BOC = 100°, the measure of ?BAC is

    • Options
    • A. 100°
    • B. 180°
    • C. 80°
    • D. 200°
    • Discuss
    • 4. Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ?AOB and ?COD is

    • Options
    • A. 4:1
    • B. 1:16
    • C. 1:4
    • D. 16:1
    • Discuss
    • 5. D and E are points on the sides AB and AC respectively of ?ABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ?DEF and ?CBF

    • Options
    • A. 16:25
    • B. 16:81
    • C. 81:16
    • D. 4:9
    • Discuss
    • 6. PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

    • Options
    • A. 40?2
    • B. 80?2 + 80
    • C. 40?2 + 40
    • D. 40?2 + 80
    • Discuss
    • 7. If ABCDEF is a regular hexagon, then what is the value (in degrees) of ?ADB?

    • Options
    • A. 15
    • B. 30
    • C. 45
    • D. 60
    • Discuss
    • 8. ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of ?BEC?

    • Options
    • A. 15
    • B. 30
    • C. 25
    • D. 10
    • Discuss
    • 9. There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres2) of the path?

    • Options
    • A. 50.05
    • B. 57.56
    • C. 52.12
    • D. none
    • Discuss
    • 10. A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base?

    • Options
    • A. 1033
    • B. 1433
    • C. 733
    • D. 2133
    • Discuss


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