Question

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

Answer 1

Answer:

ED = 8 units

Step-by-step explanation:

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

$\frac{AE}{DE}$ = $\frac{AB}{DC}$, that is

$\frac{2x+4}{x+4}$ = $\frac{9}{6}$ ( 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