Question

Hallar el valor de ab datos: bc= 4,5 cm de= 2cm ef= 3 cm

Answer 1

The measure of ab and df are 3cm and 7.5cm respectively

Similarity theorem of shapes

In order to determine the missing sides, we need to take the ratio of the similar sides as shown:

1) ab/de = ac/df

ab/de = ab+bc/df

Substitute the given values

ab/2 = ab+4.5/2+3

ab/2 = ab+4.5/5

2(ab+4.5) = 5ab
2ab+9=5ab

3ab = 9

ab = 3cm

Hence the measure of ab is 3cm

2) ae/ce = bf/df

24/9 = 20/df

24df =. 9(20)

24df = 180

df = 7.5cm

Hence the measure of ab and df are 3cm and 7.5cm respectively

Learn more on similar shapes here: brainly.com/question/11920446

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