Upload
others
View
8
Download
0
Embed Size (px)
Citation preview
The P tha orean Theorem and Its Converse Notes SheetPythagorean Theorem BJV\ A (,'~h.t Is , r~C-Sl-1~ o~ +\.t~ sttlcarr-s (';)IS! +\"cIell\~ \-~s e S; i- \- e \ t ~S \'s e...'z, L-t<\ \ + I) ~ \1 c ~t-'CAC...-£ aoS:- ~~L! \ !If\t) \~ o.~ t-It\~ ~ ~~o4 eV\lASC.
1. '2"Z 8X ;- 17 -t-::;)( L.-- ).0 ~ tl{1
XV;:{~30"'f= Ij.(L]
Guided PracticeFind x.1.
15
6
Your Turn3.
c A
2. 11
Pythagorean TriplesSc.~ S &~ -1'r.'<ee. ""C>~ l..~'("o w"'e>\e V\L-\~be€$ "StAt.."'- +~~~o.."2t-101G<
~,l{)t; 5, III 13 s. lSI 17 =.«. ;;.S~ I -0 J 10 (0,'tl{,"J..b Jh / 30, 3Gt Il-C4~,t;oCf,I'2}IS It;, 3&, 31 Zl,,{/ (.,{s) 5 ) ~ \ J 7). I 7'))'/.-, ~YI ~X ~)I. J '2)( ) (3>- t», I~~, IN 7" 'J J f-( 1- );Z 5~
[I '2;, X L1 q z:
1;21 =.}('"t8lX "1-~fiOX:::')M
4. x
. 'Z- 'Q? -z..fZ ~ 0 +X
It.(v[ ::. bL{ r-A z,
f~O~>-:-'-i-JS
Guided PracticeUse a Pythagorean Triple to find x. Explain your reasoning.5. 6.
~ 1~7~::;~\2.:-~~ L(
x;;5-315 [X~J1J
c.""e G\L?
0( 'Z+ 1Z"t::::-15'1{tlyl-( ;;),15
7"l5 ;:)25Your Turn7.
14
48
£1~--:'f; /2Lo:'{~5X: l~.l{
0~t:~e~c..;
:l.
20 "f r-202=5"2
:230,(+40£>:' oZ 76'()"7D't---')..70 1./
V
x
)'b7.; 2'1'+10"<-676:- S76·t-l~b70 z: b 76
8.
x
24Converse of the Pythagorean Theorem
::r ~ ~ c +- v.,4:: c:'2 t\A eV\ \ ("''O.'l-'~\e \S ~ (")~'" -\- A.
Pythagorean Inequality to Prove Acute Triangles
1- S e2.L 4,.L +- b2 1-~eV\ L1 \....S e,c~ie I
Pythagorean Inequality to Prove Obtuse Triangles
10. 6.2, 13.8,20"
Guided PracticeDetermine whether each set of numbers can be the measures of a triangle. If to, classify the triangle as acute,right or obtuse. Justify your answer.9. 7, 14, 16
1·-r-\L\ tib .> 7+1b)lLf V ILl tl6! 1v'J. '" c:s a. .\-('\"0, ""'5\~
Ib7.? 1'\~1"2 J~5b J~b t!.{~ \~C;~ A
2t;b 7 ;( '<5~YourTurn
.r. 9, 12, 15 VorTI~)lr~ '1+\5/1'"2v 1..2+I.s>~
).s ~ h,.151..1 \').1.T'\~~j.S 'l1'i"t~1 ~" ., c t..l- Jl'