Using Similarity Express x in terms of a, b, and c.Given:The given pair of triangles is similar.The given pair of triangle is,12210202671.jpg

Approach:
Two triangles are similar if their vertices can be matched up so that corresponding angles are congruent. In this case corresponding sides are proportional.
Calculation:
By similarity,
The lengths of the corresponding sides in the triangles are proportional.
${\displaystyle x=a=\frac{c}{a+b}}$
${\displaystyle x=a\left(\frac{c}{a+b}\right)}$
${\displaystyle x=\frac{ac}{a+b}}$
Therefore, the required expression is ${\displaystyle x=\frac{ac}{a+b}}$.
Conclusion:
Hence, the required expression is ${\displaystyle x=\frac{ac}{a+b}}$.