Question

How do i solve this? ASAP!

Answer 1

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:

`(AB)/(AD) = (BC)/(DC)`

AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

`(x)/(15) = (5)/(3)`

By cross multiply we get;

`3x = 15 \cdot 5`

Simplify:

`3x = 75`

Divide both sides by 3 we get;

`(3x)/(3)=(75)/(3)`

Simplify:

x = 25 units

Therefore, the value of x is 25 units.