Question

Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. Round your answer to the nearest tenth.

ab=4ft
bc=6ft
ac=5ft

de=6ft
ef= 9ft

there is no feet given for df

Please can anyone help me solve this with steps I don't understand how to do this. Thanking you in advance for any assistance.
Similar triangles have similar ratios

DE / AB = 6/4 = 3/2

EF/BC = 9/6 = 3/2

So we know that DF / AC = 3/2

We are given that AC = 5

So, DF / 5 = 3/2

We cross multiply to get 15 = DF x 2

So, DF = 15/2

And, to the nearest tenth it is equal to



7.5
(Meaning 7.5 was the answer sorry if I was unclear)

Related Questions

The scale factor of two similar triangles is 2/5. if the perimeter of the small triangles is 80 cm,... Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. Round your answer to the near... Triangles ABC and DEF are similar. Find the area of triangle ABC. Round your answer to the nearest t... Triangles ABC and DEF are similar. Find the area of triangle ABC. Round your answer to the nearest t...