What is the value of x to the nearest tenth the figure is not drawn to scale?

Solution:

The above diagram shows two similar triangles △ABD and △ADC. In these triangles, ∠DAC and ∠DAB are equal (given).

Side CD and side BD are in proportion as sides AB and AC are. Therefore,

CD/DB = AC/AB

3.9/7.2 = x/19.3

x = (3.9 × 19.3)/7.2

x = 10.5

What is the value of x to the nearest tenth the figure is not drawn to scale?

Summary:

The value of x to the nearest tenth is 10.5.