The two similar triangles in the figures are:
a) ABC
b) ADE
For triangle ABC, the two sides are x and 6.
For triangle ADE, two corresponding sides are (x+8) and 8
For similar triangles, the ratio of corresponding sides is the same.
So, we can write:
[tex] \frac{x}{6}= \frac{x+8}{8} \\ \\
8x=6(x+8) \\ \\
8x=6x+48 \\ \\
2x=48 \\ \\
x=24
[/tex]
Thus, the value of x will be 24
