Question

help i will mark as branliest​

Answer 1

Answer:

(a) DE = 7.5 cm

(b) Area of ΔABE = 9.33 cm2

Step-by-step explanation:

(a)   $\frac{AE}{DE} =\frac{BE}{CE}$

     $\frac{5}{DE} =\frac{4}{6}$

    $DE=\frac{(5)(6)}{4} =\frac{30}{4} =7.5$

(b) measurements of similar triangles have a ratio of 2/3

The ratio between areas is

$(\frac{2}{3} )^{2} =\frac{4}{9}$

If the area of ΔCDE = 21

Then the área of ΔABE is:

$21(\frac{4}{9})=\frac{(21)(4)}{9} =\frac{84}{9} =9.33$

Hope this helps