1.
If the measures of two sides of a triangle are 3 and 1, between what two numbers must the measure of the third side fall?
A.
1 and 7
B.
1 and 3
C.
2 and 5
D.
2 and 4
Hint
2.
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall?
A.
10 and 25
B.
15 and 20
C.
10 and 35
D.
5 and 35
Hint
3.
If 28 and 49 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall?
A.
28 and 49
B.
10 and 60
C.
21 and 77
D.
31 and 67
Hint
4.
Is it possible to draw a triangle with sides measuring 32, 96, and 118? Explain.
A.
No; 32 + 96 is less than 118.
B.
Yes; the sum of the measures of any two sides is greater than the other side measure.
C.
No; 32 is less than 96 + 118.
D.
Yes; 96 is between 32 and 118.
Hint
5.
Ed has a piece of rope with exactly 10 knots tied to make 9 equal lengths as shown. Using the rope, he wants to use the entire rope to make a triangle so that each vertex of the triangle occurs at a knot. How many different triangles can Ed make?
A.
2
B.
5
C.
4
D.
3
Hint