In the given figure we have two similar triangles:
a) Triangle ABC
b) Triangle ADE
Two sides of triangle ABC are 2 and x
The two corresponding sides of triangle ADE are (2+1)=3 and 1
The ratio of corresponding sides of similar triangles is always equal, so we can write:
[tex]2:x=3:1 \\ \\
\frac{2}{x}= \frac{3}{1} \\ \\
2=3x \\ \\
x= \frac{2}{3}[/tex]
Therefore, the measure of x will be 2/3
