Question

PLZ HELP ASAP LAST SIMMILIAR TRIANGLES

Answer 1

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:

$2:x=3:1 \\ \\ \frac{2}{x}= \frac{3}{1} \\ \\ 2=3x \\ \\ x= \frac{2}{3}$

Therefore, the measure of x will be 2/3