Question

The points A, B, and C lie on a line so that AB = 12 cm and BC = 13.5 cm. Find the length of segment AC. Give all possible answers.

Give two possible answers. Not just one please.

Answer 1

Answer:

25.5 and 1.5

Step-by-step explanation:

AC = 12 cm

BC = 13.5 cm

12 + 13.5 = 25.5 cm

13.5 - 12 = 1.5 cm

Answer 2

The possible length of segment AC is 25.5 cm and 1.5 cm.

What is a line segment?

A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

For the given situation,

The points A, B, and C lie on a line.

Length AB = 12 cm

BC = 13.5 cm

The possible length of segment AC can be found by adding and subtracting the lengths of AB and BC.

a) Length of AC = $13.5+12$

⇒ $25.5$ cm

b)  Length of AC = $13.5-12$

⇒ $1.5$ cm

Hence we can conclude that the possible length of segment AC is 25.5 cm and 1.5 cm.

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