CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

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


The figure to the right is a rectangular prism. All sides (or faces) are either squares (the front and back) or rectangles
(the four around the middle). All sides are perpendicular.



  1. Findc.

  2. Findd.


21.WritingExplain whym^6 A= 90 ◦.


  1. Fill in the blanks for the proof of Theorem 8-4.


Given: In 4 ABC,a^2 +b^2 <c^2 , wherecis the longest side. In 4 LMN,^6 Nis a right angle.Prove: 4 ABCis
an obtuse triangle. (one angle is greater than 90◦)

TABLE8.2:


Statement Reason


  1. In 4 ABC,a^2 +b^2 <c^2 , andcis the longest side. In
    4 LMN,^6 Nis a right angle.
    2.a^2 +b^2 =h^2
    3.c^2 >h^2


  2. 5.^6 Cis the largest angle in 4 ABC.
    6.m^6 N= 90 ◦
    7.m^6 C>m^6 N



  3. Transitive PoE
    9.^6 Cis an obtuse angle.

  4. 4 ABCis an obtuse triangle. 433

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