How is 18 done Name the angtes from largest to smallest Name the shortest &tonge

Question

How is 18 done

Name the angtes from largest to smallest Name the shortest &tongest; sides 18 em 13 em 20 em 14. (1 pt.) 15. shortest longest (1 pt.) Can the three numbers be the measures of the sides of a triangle? Show evidence. (2 pts. each) 16. 7, 5, 4 17. 3, 6,2 18. If two sides of a triangle have lengths of 14 and 11, what is the range of possible values for the third side? (3 pts) Bonus Problem: (1.5 pts.) Given: an equilateral triangle Prove or disprove: the incenter and circumcenter are the same Statements Reasons is an equilateral triangle Given

Explanation / Answer

18.

We know that sum of any 2 sides in a triangle is greater than the 3rd side

Let c be the third side.

So, 14+11>c

c<25 So, lower limit of third side is 25

Applying the same again, c+11>14

So, c>14-11 = 3

c>3

So, c is between 3 and 25

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