Answer:
dotted line ≈ 5.5
Step-by-step explanation:
let the base line of the upper rectangle be b
Using Pythagoras' identity on the lower right triangle
c² = a² + b² ( c is the hypotenuse and a, b the legs )
In the right triangle b is the hypotenuse and 2 and 5 are the legs, then
b² = 2² + 5² = 4 + 25 = 29
Consider the lower right triangle inside the rectangle , with the dotted line , call it x, being the hypotenuse.
Again using Pythagoras' identity
x² = b² + 1² = 29 + 1 = 30 ( take square root of both sides )
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{30}[/tex] , then
x = [tex]\sqrt{30}[/tex] ≈ 5.5 ( to the nearest tenth )
The dotted line ≈ 5.5
