10th Grade Cosine Law (Nikoleta Simeonova)

10 Questions | Total Attempts: 112

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10th Grade Cosine Law (Nikoleta Simeonova)

For your "fill in the blanks" answers, please use the following pattern: _ cm, _ cm Example: 1 cm, 2 cm


Questions and Answers
  • 1. 
    Given ABCD - circumscribed quadrilateral. Two of the adjacent sides are 5 cm and 12 cm, they are also perpendicular to each other. Find the other sides if the angle between them is 60 degrees.
  • 2. 
    The following identity is true or false:
    • A. 

      True

    • B. 

      False

  • 3. 
    The following identity is true or false:
    • A. 

      True

    • B. 

      False

  • 4. 
    The following identity is true or false:
    • A. 

      True

    • B. 

      False

  • 5. 
    Given an equilateral triangle ABC with a side 3 cm. The equilateral triangle DEF is inscribed in ABC, DE= cm, D lies on AB. Find the lengths of the line segments AD and DB.
  • 6. 
    Given an equilateral triangle ABC with a side 6 cm. Point M lies on AB, so that the distance between M and the nearest vertex of the triangle is 1 cm. Find the distance between M and the centroid of ABC.
    • A. 
    • B. 
    • C. 
    • D. 

      6

  • 7. 
    Given a triangle ABC with sides 5 cm and 10 cm. The median to the third side is with 2,5 cm shorter than the third side. Find the third side.
  • 8. 
    Given a parallelogram ABCD with a perimeter 22 cm. The longer diagonal is 9 cm, the shorter diagonal equals the longer side of ABCD. Find the sides of ABCD.
    • A. 

      4 cm, 7 cm

    • B. 
    • C. 
    • D. 

      3 cm, 8 cm

  • 9. 
    Given a parallelogram ABCD with sides 11 cm and 16 cm. From one of the acute angles a perpendicular is dropped on the shorter diagonal. The length of that perpendicular is cm. Find the longer diagonal of ABCD.
  • 10. 
    Given a triangle ABC with sides BC=2 cm, AB=5 cm, AC= cm. Point D lies on AC, so that BD=3 cm. Find CD.
    • A. 
    • B. 
    • C. 
    • D. 
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