If AB = 2.4 cm and BC = 4.6 cm, determine the measure of the segment AC.

Question

If AB = 2.4 cm and BC = 4.6 cm, determine the measure of the segment AC.

Answer 1

If A, B, and C are collinear, then AC = 2.4 + 4.6 = 7.0 cm if B is between A and C.

 

 

If A is between B and C, AC = 4.6 - 2.4 = 2.2 cm.

 

 

If not, then more information is needed.

Answer 2

The simplest assumption is that the three points are collinear, A B C.

The distance from A to B plus the distance from B to CE equals the distance from A to C.

 

2.4 + 4.6 = AC

9 = AC

Answer 3

Since it's Geometry, I'm guessing that B is a right angle and you're supposed to use the Pythagorean theorem.

 

Alternately, the right angle could be at one of the other corners, and you're STILL supposed to use the Pythagorean theorem.

 

If the right angle is at B, then the formula is AC = sqrt(4.6^2 + 2.4^2) = 5.19 cm

 

If the right angle is at A, then the formula is AC = sqrt(4.6^2 - 2.4^2) = 3.92 cm

 

The right angle cannot be at C, because the hypoteneuse must be larger than the other two.