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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
Solution
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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How is 18 done Name the angtes from largest to smallest Name the s.pdf

  • 1. 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 Solution 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