Answer:
see explanation
Step-by-step explanation:
ΔABE and ΔACD are similar hence the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{AE}{ED}[/tex] = [tex]\frac{BE}{CD}[/tex]
Using the first pair of ratios then
[tex]\frac{20}{5}[/tex] = 4 = [tex]\frac{26}{ED}[/tex], hence
4ED = 26 ( divide both sides by 4 )
ED = 6.5 cm
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(b)
Similarly
[tex]\frac{BE}{18}[/tex] = 4, hence
BE = 4 × 18 = 72 cm
