Answer:
Similar triangles states the length of the corresponding sides are in proportion.
In a given similar triangles:
Labelled the diagram:
Triangle BAC and triangle DAC are similar.
then;
Corresponding sides:
[tex]\frac{AB}{AD} = \frac{BC}{DC}[/tex]
AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units
[tex]\frac{x}{15} = \frac{5}{3}[/tex]
By cross multiply we get;
[tex]3x = 15 \cdot 5[/tex]
Simplify:
[tex]3x = 75[/tex]
Divide both sides by 3 we get;
[tex]\frac{3x}{3}=\frac{75}{3}[/tex]
Simplify:
x = 25 units
Therefore, the value of x is 25 units.
