By using properties of similar triangles we got that AD is equal to 64 and DC is equal to 100
What is similar triangles ?
Triangles with same shape are known as similar triangle. size can be different .
Given that BD ⊥ AC
So triangle DAC is similar to triangle DBC
So by the property of similar triangles
[tex]\frac{AB}{BC}=\frac{DB}{DC}\\\\ \frac{4}{5}=\frac{DB}{DC}\ \ \ \\\\\ \frac{4}{5}=\frac{80}{DC}\ \ \ \ \\\\\\DC= \frac{80\times5}{4}\\\\DC=100[/tex]
Similarly
[tex]\frac{DB}{DC}=\frac{AD}{BD}\\\\ \frac{80}{100}=\frac{AD}{80}\ \ \ \ .\\\\\\AD= \frac{80\times80}{100}\\\\AD=64[/tex]
By using properties of similar triangles we got that AD is equal to 64 and DC is equal to 100
To know more about similar triangles visit :https://brainly.com/question/14285697
