Answer:
perimeter of Δ GIH = 6 units
Step-by-step explanation:
given Δ EIF and Δ GIH are similar , then the ratios of corresponding sides are in proportion , that is
[tex]\frac{IH}{IF}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
That is the sides of Δ GIH are [tex]\frac{1}{3}[/tex] the corresponding sides of Δ EIF
Since the sides are in proportion, then the perimeters are in the same proportion
perimeter of Δ EIF = 5 + 6 + 7 = 18 units , then
perimeter of Δ GIH = [tex]\frac{1}{3}[/tex] × 18 = 6 units
