popsiclespopping popsiclespopping
  • 22-03-2020
  • Mathematics
contestada

Triangles DEH and DFG are similar. HE = 1.2 cm, GF= 4.8 cm and DF = 7.2 cm.
4.8 cm
1.2 cm
7.2 cm
(a)
Find the length of DE, showing your working clearly.
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Respuesta :

jimrgrant1 jimrgrant1
  • 22-03-2020

Answer:

DE = 1.8 cm

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DF}{DE}[/tex] = [tex]\frac{GF}{HE}[/tex], and substituting values

[tex]\frac{7.2}{DE}[/tex] = [tex]\frac{4.8}{1.2}[/tex] ( cross- multiply )

4.8DE = 8.64 ( divide both sides by 4.8 )

DE = 1.8 cm

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