Question

What is ED??????????????

Answer 1

ED = 8 units

Explanation:

ΔAEB and ΔDEC are similar triangles, hence the ratios of corresponding sides are equal, that is

`(AE)/(DE)` =
`(AB)/(DC)`, that is

`(2x+4)/(x+4)` =
`(9)/(6)` ( cross- multiply )

6(2x + 4) = 9(x + 4) ← distribute parenthesis on both sides

12x + 24 = 9x + 36 ( subtract 9x from both sides )

3x + 24 = 36 ( subtract 24 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Hence ED = x + 4 = 4 + 4 = 8 units