Core Connections Integrated II, 2015
CC
Core Connections Integrated II, 2015 View details
2. Section 7.2
Continue to next subchapter

Exercise 85 Page 407

Practice makes perfect
a Let's separate the triangles. Note that AD is the sum of AB and BD.
b To find the length of DE, we can use the triangle's similarity. This is because, in similar shapes, the ratio between corresponding sides is the same no matter what pair of corresponding sides you choose. By marking corresponding angles, we can more easily identify corresponding sides.
Let's solve this equation for x.
x/10=22/14
Solve for x
x/10=11/7
x=11/7* 10
x=110/7
x=15.71428...
x≈ 15.71
Therefore DE is about 15.71 units long.