Question

In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE

Answer 1

`\huge\boxed{\sf DE = 9}`

Explanation:

From the figure,

AB = 2

BC = 3

AD = 6

Substitute in the given formula

`\displaystyle (AB)/(BC) =(AD)/(DE) \\\\(2)/(3) = (6)/(DE) \\\\Cross \ Multiply \\\\2 * DE = 6 * 3\\\\2DE = 18\\\\Divide \ 2 \ to \ both \ sides\\\\DE = 18/2\\\\DE = 9\\\\\rule[225]{225}{2}`