What is DF=
Help me please thank you :)

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05-07-2022
Mathematics

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What is DF=
Help me please thank you :)

Sagot :

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Sheenuvt12idn Sheenuvt12idn · Answer 1 · 2022-07-07T07:30:30-04:00

The value of DF = 20.

What is similarity?

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)= (FS/ YR)

ar ΔSDF² / ar ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x, RT= 9x

SD= 8

4x = 8

x = 2

So,

RT= 9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)= (FS/ YR)

DF / 45= 16/ 36

DF=20

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What is similarity?

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