The length of the segment AB is 1.5. On ray AB, point K is taken, and on ray BA

The length of the segment AB is 1.5. On ray AB, point K is taken, and on ray BA, point L so that AK = 0.7; BL = 2.1. Find the length of the line segment KL.

Given:

AB = 1.5;

K ∈ AB;

L ∈ BA

AK = 0.7;

BL = 2.1;

KL =?

Decision:

The length of the segment KL is equal to the sum of the lengths of the segments AK and LA;

KL = AK + LA;

The length of the segment LA is equal to the difference between the lengths of the segments BL and AB;

LA = BL – AB;

LA = 2.1 – 1.5 = 0.6;

Then the length of the segment KL is equal to:

KL = 0.7 + 0.6 = 1.3;

Answer: 1.3;