Question

7. In the diagram, AB = BC, AC = CD, and AD = 10. Find the lengths of all

the segments in the diagram. What is the probability that a randomly chosen
segment has a length of 2.5?

Answer 1

Answer: AD=10

AC=5

CD=5

AB=2.5

BC=2.5

BD=7.5

Probability: 1/3

Explanation:

Segments: AB, BC, CD, AC, BD, AD

AD=10

AC=10/2=5

CD=AC=5

AB=5/2=2.5

BC=AB=2.5

BD=BC+CD=2.5+5=7.5

AB, BC, CD, AC, BD, AD ==> 2.5, 2.5, 5, 5, 7.5, 10

2/6 segments are 2.5

Probability: 1/3