jayneely99
jayneely99 jayneely99
  • 21-10-2021
  • Mathematics
contestada

#6.
In the diagram below ABC~DEF, DE=4, AB=x AC=x+2 and DF= x+6
Determine the length if AB
Please help me with this one!

6 In the diagram below ABCDEF DE4 ABx ACx2 and DF x6 Determine the length if AB Please help me with this one class=

Respuesta :

jimrgrant1 jimrgrant1
  • 21-10-2021

Answer:

x = 2

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{7x}{7}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )

7x² = 28 ( divide both sides by 7 )

x² = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

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