1.
Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain
A.
No; 13 is less than 21 + 39.
B.
Yes; the sides of the triangle are not all the same lengths.
C.
Yes; 13 + 21 is less than 39.
D.
No; 39 is greater than 13 + 21.
Hint
2.
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 3
B.
2 and 4
C.
2 and 5
D.
1 and 7
Hint
3.
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.
15 and 20
B.
5 and 35
C.
10 and 25
D.
10 and 35
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; 96 is between 32 and 118.
C.
No; 32 is less than 96 + 118.
D.
Yes; the sum of the measures of any two sides is greater than the other side measure.
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.
3
C.
4
D.
5
Hint