Pre-Calculus Homework Solutions 199

# Pre-Calculus Homework Solutions 199 - 14 The triangle is a...

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14. The triangle is a 30°-60°-90° triangle where x is the measure of the shorter leg and y is the measure of the longer leg. 18 5 ¬ 2 x 9 5 ¬ x y 5 ¬ Ï 3 w ( x ) y 5 ¬ Ï 3 w (9) or 9 Ï 3 w 15. n ABC is equilateral because C w D w bisects the base and C w D w is an altitude. Therefore n ADC is a 30°-60°-90° triangle with hypotenuse y and shorter leg } 2 x } . } 2 x } ? Ï 3 w 5 ¬ 12 x 5 ¬ 12 ? } Ï 2 3 w } x 5 ¬ } Ï 24 3 w } ? } Ï Ï 3 w 3 w } x 5 ¬ } 24 3 Ï 3 w } x 5 ¬ 8 Ï 3 w y 5 2 1 } 2 x } 2 y 5 x y 5 8 Ï 3 w 16. x is the shorter leg and y is the longer leg of the 30°-60°-90° triangle. 2 x 5 ¬ 11 x 5 ¬ } 1 2 1 } or 5.5 y 5 ¬ Ï 3 w ( x ) y 5 ¬ Ï 3 w (5.5) or 5.5 Ï 3 w 17. In n DEF , D w E w is the hypotenuse so x 5 5 Ï 2 w .In n FGE , F w G w is a leg and F w E w is the hypotenuse. Ï 2 w ( y ) 5 ¬ 5 y 5 ¬ } Ï 5 2 w } y 5 ¬ } Ï 5 2 w } ? } Ï Ï 2 w 2 w } y 5 ¬ } 5 Ï 2 2 w } 18. In n BCE , a is the measure of the hypotenuse and C w E w is the longer leg. a
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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