10th Grade Sine Law (Nikoleta Simeonova)

10 Questions | Total Attempts: 96

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10th Grade Sine 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 a triangle ABC with side BC=25 cm, the altitude BD is 15 cm, the circumradius is 32,5 cm. Find the other sides, and  .
    • A. 
    • B. 
    • C. 
    • D. 
  • 2. 
    Given a triangle ABC, the shortest side and the circumradius are in the ratio 6:5. The other two sides are 20 cm and 21 cm. Find the shortest side of the triangle.
  • 3. 
    Given an inscribed trapezoid ABCD with a leg m. The angle between the diagonals, lying opposite to the bases is . Find the radius of the circumcircle of ABCD.
    • A. 
    • B. 
    • C. 
    • D. 
  • 4. 
    Given a right triangle ABC with a hypotenuse AB=2 cm. A, B and the midpoints of the legs (BC and AC) lie on a circle. Find the radius of that circle.
    • A. 
    • B. 
    • C. 
    • D. 
  • 5. 
    Given a triangle ABC, the interior and exterior bisectors of angle C are equal. Find the number .
  • 6. 
    Given an inscribed trapezoid ABCD with leg 6 cm. The diagonals are perpendicular to each other. Find the radius of the circumcircle of ABCD.
    • A. 
    • B. 
    • C. 

      6 cm

    • D. 

      3 cm

  • 7. 
    Given a rectangle ABCD with an angle between the diagonals . ABCD is inscribed in a circle with radius R. Find the area of ABCD.
    • A. 
    • B. 
    • C. 
    • D. 
  • 8. 
    Given the isosceles inscribed triangle ABC with a radius of the circumcircle R and a leg with length R. Find the length of the base of ABC.
    • A. 

      4R

    • B. 
    • C. 

      R

    • D. 
  • 9. 
    Given the isosceles triangle ABC with angle ACB=120 degrees. ABC is inscribed in a circle with radius R. Find the perimeter P and the area S of ABC.
    • A. 
    • B. 
    • C. 
    • D. 
    • E. 
    • F. 
  • 10. 
    The distance between the chord AB and the center of the circle k is 1 cm. The radius of the circle is  cm. Find the length of AB. If C is a random point, lying on the circle k, find angle ACB.
    • A. 

      AB=2 cm, angle ACB=45 degrees

    • B. 

      AB=2 cm, angle ACB=135 degrees

    • C. 

      AB=2 cm, angle ACB=45 or 135 degrees

    • D. 

      AB=2 cm, angle ACB cannot be determined

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