CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 8. Right Triangle Trigonometry


Determine if the following sets of numbers are Pythagorean Triples.



  1. 12, 35, 37

  2. 9, 17, 18

  3. 10, 15, 21

  4. 11, 60, 61

  5. 15, 20, 25

  6. 18, 73, 75


Find the area of each triangle below. Simplify all radicals.


17.


18.


19.


Find the length between each pair of points.



  1. (-1, 6) and (7, 2)

  2. (10, -3) and (-12, -6)

  3. (1, 3) and (-8, 16)

  4. What are the length and width of a 42′′HDTV? Round your answer to the nearest tenth.

  5. Standard definition TVs have a length and width ratio of 4:3. What are the length and width of a 42′′Standard
    definition TV? Round your answer to the nearest tenth.
    25.ChallengeAn equilateral triangle is an isosceles triangle. If all the sides of an equilateral triangle ares, find
    the area, using the technique learned in this section. Leave your answer in simplest radical form.

  6. Find the area of an equilateral triangle with sides of length 8.


Pythagorean Theorem Proofs

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