Question

In the figure, ΔABC~ΔADE. Find the length of line segment DE.

Answer 1

Answer:

13

Step-by-step explanation:

$\triangle ABC \sim \triangle ADE => \frac{x}{x+10}=\frac{x+3}{x+16}=>x^{2}+16x=x^{2}+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13$