Question

these triangles are similar. solve for x.
14
93°
57°
28
93°
20
x
57°
x = ?

Explanation:

Step1: Confirm similarity correspondence

The triangles have matching angles: $93^\circ$, $57^\circ$, so corresponding sides are proportional. The side of length 14 corresponds to side $x$, and side 28 corresponds to side 20.

Step2: Set up proportion

$\frac{14}{x} = \frac{28}{20}$

Step3: Cross-multiply to solve for x

$28x = 14 \times 20$
$28x = 280$

Step4: Isolate x

$x = \frac{280}{28}$
$x=10$

Answer:

$x=20$