Answer:
(a) DE = 7.5 cm
(b) Area of ΔABE = 9.33 cm2
Step-by-step explanation:
(a) [tex]\frac{AE}{DE} =\frac{BE}{CE}[/tex]
[tex]\frac{5}{DE} =\frac{4}{6}[/tex]
[tex]DE=\frac{(5)(6)}{4} =\frac{30}{4} =7.5[/tex]
(b) measurements of similar triangles have a ratio of 2/3
The ratio between areas is
[tex](\frac{2}{3} )^{2} =\frac{4}{9}[/tex]
If the area of ΔCDE = 21
Then the área of ΔABE is:
[tex]21(\frac{4}{9})=\frac{(21)(4)}{9} =\frac{84}{9} =9.33[/tex]
Hope this helps
