lengths of the sides of a triangle

[Guest]

Ok my text book lists 6 questions asking me if they could be lengths of a triangle...


3. 5,5 and 5 __yes_______ (yes or no)
4. 7,3 and 5 _____yes_____ (yes or no)
5. 2,4 and 11 _______no___ (yes or no)
well the one that i dont understand is:
20,50 and 10

I added 20 and 50 together because that's how i did every other question so that would mean that "yes" they could be correct lengths of a triangle...BUT the correct answer is NO!!!

Can somebody please help me :?:
By the way the text book is using the Triangle Inequality Theorem ("the sum of the lengths of two sides of a triangle is > the length of the third side)
thank you in advance to anyone that can help me
*Ainsley*

 

[pka]

20+10<50! So no.

 

[Guest]

20+10<50! So no.

why would it be 20+10 ?? all the other questions added the first two numbers...20 and 50 are the first numbers in this question...
can you give me any tips on how to tell which #'s to add? :?:

Thank you PKA for ur help

~Ainsley~

 

[pka]

In geometry the Triangle Inequality states that the sum of the lengths of any two sides must exceed the length of the remaining side.

 

[Guest]

Thank you for your help... i understand it now

~Ainsley~ :twisted: