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  • Question
  • Find the length of the altitude of an equilateral triangle of side 33 cm.


  • Options
  • A. 4.5
  • B. 3.5
  • C. 2.5
  • D. 6.5

  • Correct Answer
  • 4.5 

    Explanation

    Let the length of the altitude be h.
    Then, h =  a 3 2    =  3 3   ×   3 2  = 4.5


  • Area problems


    Search Results


    • 1. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

    • Options
    • A. 22
    • B. 44
    • C. 66
    • D. 88
    • Discuss
    • 2. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

    • Options
    • A. 18%
    • B. 28%
    • C. 38%
    • D. 48%
    • Discuss
    • 3. In ?ABC, AC = BC and ?ABC = 50°, the side BC is produced to D so that BC = CD then the value of ?BAD is

    • Options
    • A. 80°
    • B. 40°
    • C. 90°
    • D. 50°
    • Discuss
    • 4. The four sides of a quadrilateral are in the ratio of 2:3:4:5 and its perimeter is 280m. The length of the longest side is

    • Options
    • A. 100m
    • B. 150m
    • C. 175m
    • D. 180m
    • Discuss
    • 5. The area of the largest sphere ( in cm2) that can be drawn inside a square of side 18 cm is

    • Options
    • A. 972π
    • B. 11664π
    • C. 36π
    • D. 288π
    • Discuss
    • 6. A square and rectangle have equal areas. If their perimeters are p and q respectively. Then

    • Options
    • A. p
    • B. p>q
    • C. p=q
    • D. none of these
    • Discuss
    • 7. An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

    • Options
    • A. 4.04%
    • B. 5.04%
    • C. 6.04%
    • D. 7.04%
    • Discuss
    • 8. A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

    • Options
    • A. 16.25
    • B. 19.25
    • C. 18.25
    • D. 17.25
    • Discuss
    • 9. The length of the radius of the circumference of a triangle having sides 9 cm, 12 cm and 15 cm is

    • Options
    • A. 6 cm
    • B. 7.5 cm
    • C. 4.5 cm
    • D. 8 cm
    • Discuss
    • 10. From a square plate with each side 7 cm, squares of area 0.25 sq. cm are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ......... . cub.cm

    • Options
    • A. 21
    • B. 16
    • C. 18
    • D. 20
    • Discuss


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