Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
4,7,13 and 3,6,6 are line segments that cannot form a triangle
[tex]To \ build \ a \ triangle \ with \ these \ segments, \ \\ \\ must \ be \ the \ condition:[/tex]
[tex]a+b >c \\ a+c>b \\ b+c>a[/tex]
[tex]a =6 \ cm, \ \ b= 8 \ cm, \ \ c =10 \ cm \\6 \ cm+8 \ cm>10 \ cm \\6 \ cm+10 \ cm>8 \ cm\\8 \ cm+10 \ cm>6 \ cm \\ \\14 \ cm >10 \ cm \\16 \ cm >8 \ cm \\18 \ cm > 6 \ cm \\ \\ are \ line \ segments \ that \ form \ a \ triangle[/tex]
[tex]a =5 \ cm, \ \ b= 6 \ cm, \ \ c =7 \ cm \\5 \ cm+6 \ cm>7 \ cm \\5 \ cm+7\ cm>6 \ cm\\6 \ cm+7 \ cm>5 \ cm \\ \\11 \ cm >7 \ cm \\12 \ cm >6 \ cm \\13 \ cm > 5 \ cm \\ \\ are \ line \ segments \ that \ form \ a \ triangle[/tex]
[tex]a =4 \ cm, \ \ b= 7 \cm, \ \ c =13 \cm \\4\ cm+7 \ cm>13 \ cm \\4 \ cm+13\ cm>7 \ cm\\7 \ cm+13 \ cm>4 \ cm \\ \\11 \ cm < 13 \ cm \\17 \ cm >6 \ cm \\20\ cm > 4 \ cm \\ \\ are \ line \ segments \ that \ cannot \ form \ a \ triangle[/tex]
[tex]a =3 \ cm, \ \ b= 6 \cm, \ \ c =6 \cm \\3\ cm+6 \ cm>6 \ cm \\3\ cm+6\ cm>6\ cm\\6 \ cm+6\ cm>3 \ cm \\ \\9 \ cm > 6\ cm \\9 \ cm >6 \ cm \\12\ cm > 3 \ cm \\ \\ are \ line \ segments \ that \ form \ a \ triangle[/tex]
[tex]a+b >c \\ a+c>b \\ b+c>a[/tex]
[tex]a =6 \ cm, \ \ b= 8 \ cm, \ \ c =10 \ cm \\6 \ cm+8 \ cm>10 \ cm \\6 \ cm+10 \ cm>8 \ cm\\8 \ cm+10 \ cm>6 \ cm \\ \\14 \ cm >10 \ cm \\16 \ cm >8 \ cm \\18 \ cm > 6 \ cm \\ \\ are \ line \ segments \ that \ form \ a \ triangle[/tex]
[tex]a =5 \ cm, \ \ b= 6 \ cm, \ \ c =7 \ cm \\5 \ cm+6 \ cm>7 \ cm \\5 \ cm+7\ cm>6 \ cm\\6 \ cm+7 \ cm>5 \ cm \\ \\11 \ cm >7 \ cm \\12 \ cm >6 \ cm \\13 \ cm > 5 \ cm \\ \\ are \ line \ segments \ that \ form \ a \ triangle[/tex]
[tex]a =4 \ cm, \ \ b= 7 \cm, \ \ c =13 \cm \\4\ cm+7 \ cm>13 \ cm \\4 \ cm+13\ cm>7 \ cm\\7 \ cm+13 \ cm>4 \ cm \\ \\11 \ cm < 13 \ cm \\17 \ cm >6 \ cm \\20\ cm > 4 \ cm \\ \\ are \ line \ segments \ that \ cannot \ form \ a \ triangle[/tex]
[tex]a =3 \ cm, \ \ b= 6 \cm, \ \ c =6 \cm \\3\ cm+6 \ cm>6 \ cm \\3\ cm+6\ cm>6\ cm\\6 \ cm+6\ cm>3 \ cm \\ \\9 \ cm > 6\ cm \\9 \ cm >6 \ cm \\12\ cm > 3 \ cm \\ \\ are \ line \ segments \ that \ form \ a \ triangle[/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.