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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 


  • Area problems


    Search Results


    • 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 the points on the sides AB and AC respectively of a ?ABC and AD = 8 cm, DB = 12 cm, AE= 6 cm and EC = 9 cm, then BC is equal to:

    • Options
    • A. 2/5 DE
    • B. 5/2 DE
    • C. 3/2 DE
    • D. 2/3 DE
    • 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. 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
    • 8. 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
    • 9. In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

    • Options
    • A. 32√3
    • B. 24[(√)-1]
    • C. 48[(√3)-1]
    • D. 16[3-(√3)]
    • 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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