AABC-ADEF and their perimeters are 32 cm and 24 cm respectively.If AB = 10 cm then DE = 8 cm 7.5 cm O 15 cm 57 Question AABC-ADEF and their perimeters are32 cm and 24 cm respectively.If AB =10 cm then DE =8 cm7.5 cmO 15 cm573 cm in progress 0 Math Serenity 2 months 2021-08-14T20:33:53+00:00 2021-08-14T20:33:53+00:00 1 Answer 0 views 0

## Answers ( )

✬DE=7.5cm✬CorrectQuestion:∆ABC ~ ∆DEF and their perimeters are

32 cm and 24 cm respectively.If AB =

10 cm then DE =

a.) 8 cm

b.) 7.5 cm

c.) 15 cm

d.) 573 cm

Given:ToFind:SolutionSince these two triangles are similar to each other. Therefore ratio of their corresponding sides will be equal. Let DE be:cm.xSo,

➢ AB/DE = AC/DF = BC/EF

We have given AB and to have to find DE.

➮

PerimeterofABC/PerimeterofDEF=AB/DE➮

32/24=AB/DE➮

32/24=10/x➮

x(32)=24(10)➮

32x=240➮

x=240/32➮

x=7.5Hence, meaure of side DE is x = 7.5 cm.

Option C is correct.