Respuesta :

Answer:

[tex]5.4 cm^{2}[/tex]

Step-by-step explanation:

The area of triangle is given by 0.5bh where b is the base while h is height. Therefore, A=0.5bh

For triangle ABC

15=0.5*5*h

H=6cm

Using the concept of similarity and enlargement

[tex]\frac {B_a}{B_d}=\frac {H_a}{H_d}[/tex]

Where B and H represent base and height respectively. Subscripts a and d represent triangle ABC and DEF.

Therefore

[tex]\frac {5}{3}=\frac {6}{H_d}\\H_d=3.6\ cm[/tex]

Area will be

[tex]A=0.5*3*3.6=5.4\cm^{2}[/tex]

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