Question

Janelle draws line segments AB and BC in the same plane such that AB = 8 cm and BC = 6 cm. Then Janelle draws

line segment AC.
Use this information to determine the length, in centimeters, of AC for the following two situations.
• AB, BC, and AC form a triangle. Enter a possible value of AC in the first response box.
• Points A, B, and C lie on the same line, and C lies between A and B. Enter this value of AC in the second
response box.

Answer 1

Explanation:

if ABC forms a triangle, AB=8 and BC=6

a possible value of AC=10cm

if ABC is a line segment n C is between A n B

AC + BC = AB

AC = 8 - 6 = 2cm

Answer 2

Explanation:

• AB, BC, and AC form a triangle. Enter a possible value of AC....

So it asks for only a possible value of AC as there are many possible values.

Given AB = 8 cm and BC = 6 cm, they are in the ratio of 3:4.

Line segments of 3, 4 and 5 length will form a right-angled triange.

A possible value of AC = 5*2 = 10cm

• Points A, B, and C lie on the same line, and C lies between A and B.

So AC+CB = AB

AC+6 = 8

AC = 2cm

Enter this value of AC in the second

response box.