Question

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
573 cm​

Answer 1

✬ DE = 7.5 cm ✬

Correct Question:

∆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:

• ∆ABC is similar to ∆DEF.
• Perimeter of ∆ABC is 32 cm.
• Perimeter of ∆DEF is 24 cm.
• Meaure of AB is 10 cm

To Find:

• What is the meaure of DE ?

Solution: Since these two triangles are similar to each other. Therefore ratio of their corresponding sides will be equal. Let DE be x cm.

So,

➢ AB/DE = AC/DF = BC/EF

We have given AB and to have to find DE.

➮ Perimeter of ABC/Perimeter of DEF = AB/DE

➮ 32/24 = AB/DE

➮ 32/24 = 10/x

➮ x(32) = 24(10)

➮ 32x = 240

➮ x = 240/32

➮ x = 7.5

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

Option C is correct.