SOLUTION: <a href="http://tinypic.com" target="_blank"><img src="http://i44.tinypic.com/14n35no.jpg" border="0" alt="Image and video hosting by TinyPic"></a> In this problem I need to fin

Algebra ->  Triangles -> SOLUTION: <a href="http://tinypic.com" target="_blank"><img src="http://i44.tinypic.com/14n35no.jpg" border="0" alt="Image and video hosting by TinyPic"></a> In this problem I need to fin      Log On


   

Question 187025This question is from textbook Survey of Mathematics w/ Applications expanded edition
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In this problem I need to find the lengths of all missing sides and measures of all angles for both triangles. This question is from textbook Survey of Mathematics w/ Applications expanded edition

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

We'll do the 1st triangle ABC :
Let's see the triangle:

As shown: we need AC=?; A=?; C?
We need to get 1st Length "D":
sin72%5Eo=D%2F13--->D=%28sin72%5Eo%29%2813%29=12.36
By Pyth Theorem, we get:
13%5E2=D%5E2%2B%28BE%29%5E2+---->169=12.36%5E2%2B%28BE%29%5E2
%28BE%29%5E2=169-152.77=16.23
BE=sqrt%2816.23%29=4.03
Then, EC=9-BE=9-4.03=4.97
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Now, for length "AC": --->AC%5E2=D%5E2%2BEC%5E2=12.36%5E2%2B4.97%5E2
AC=sqrt%28177.47%29---->AC=13.32
For Angle C:----> sin%28C%29=opp%2Fhyp=D%2FAC=12.36%2F13.32=0.9279279
%28C%29=sin%5E-1%280.9279279%29----> C=68.11^o
For Angle A: A%2BB%2BC=180%5E0
A%2B72%2B68.11=180----->A=180-72-68.11--->A=39.89^o: See below,

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Thank you,
Jojo