b In similar shapes, the ratio between corresponding sides are the same.
A
a See solution.
B
b x≈ 15.71
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.