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 are
32 cm and 24 cm respectively.If AB =
10 cm then DE =
8 cm
7.5 cm
O 15 cm
573 cm​

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Serenity 2 months 2021-08-14T20:33:53+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-14T20:35:52+00:00

    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.

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