Inequalities in a Triangle
1)Rebecca is designing a backpack and needs to determine the length of the adjustable strap that connects the shoulder strap to the backpack. The height of the backpack is 19.5 inches, and the shoulder strap is 12 inches.Which is not a possible length for the connecting adjustable strap?
  

2)Is it possible to have a triangle with side lengths of 4, 1, 10?
  

3)On a right triangle, which is longer, the a leg or the hypotenuse?
  

4)The field inside a major league baseball diamond is a square, 90 feet on a side, as show in the diagram below. To the nearest tenth of a foot, what is the distance from first base to a point on the line between second base and third base, exactly halfway between the two bases?
  

5)If the lengths of two sides of a triangle are 4 and 10, what could be the length of the third side?
  

6)Which set of numbers represents the lengths of the sides of a triangle?
  

7)In Δ ABC, AB = 7, BC = 8, and AC = 9. Which list has the angles of Δ ABC in order from smallest to largest?
  

8)In the diagram below of Δ ABC, D is a point on (AB) ̅, AC = 7, AD = 6, and BC = 18.The length of DB could be
  


  


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