Question

Please help me with my question?

Answer 1

Sometimes, separating the triangles makes it easier to understand.

Answer 2

Side BD corresponds to side AE.
The ratio of BD to AE is 3 : 4.
Ok?

Answer 3

Side CD corresponds to side CE.
The length of CD is 5.2.
The length of CE is 5.2 + x.
The ratio of CD to CE is 5.2 : (5.2 + x)

Answer 4

Now you set the two ratios equal. You have an equation in x, and you can solve for x.

\( \dfrac{3}{4} = \dfrac{5.2}{5.2 + x} \)

You can cross multiply to solve the equation for x.

Answer 5

\(\dfrac{3}{4} = \dfrac{5.2}{5.2 + x}\)

\(3 ( 5.2 + x) = 4 \cdot 5.2\)

\(15.6 + 3x = 20.8 \)

\(3x = 5.2\)

\(x = \dfrac{5.2}{3} \)

\(x = 1.7333...\)

\(x \approx 1.73\)