Whitney18bidn
Answered

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Triangle ABC is similar to Triangle DEF. Use the similar triangles to
answer the questions. (The triangles are not to scale.)
(In pic)
a.) Find the length of the BC and DF.
b.) Find the perimeter of each triangle

please help ! thanks :)

Triangle ABC Is Similar To Triangle DEF Use The Similar Triangles To Answer The Questions The Triangles Are Not To Scale In Pic A Find The Length Of The BC And class=

Sagot :

Answer:

Below in bold.

Step-by-step explanation:

As they are similar corresponding sides are in the same proportion so

3/2 = BC/3

2BC = 3*3

2BC = 9

BC = 4.5.

3/2 = 5/DF

3DF = 2*5

DF = 2*5 / 3

= 3.33...

Perimeter of ABC = 3 + 4.5 + 5 = 12.5.

Perimeter of DEF =  2 + 3 + 3.33.. = 8.33...

Devishri1977idn

Answer:

BC = 4.5 cm

DF = 10/3 cm

Step-by-step explanation:

Corresponding sides of similar triangles are in same ratio

[tex]\frac{BC}{EF}=\frac{AB}{DE}\\\\\frac{BC}{3} =\frac{3}{2}\\\\BC = \frac{3}{2}*3\\\\BC = \frac{9}{2}\\\\BC = 4.5 cm[/tex]

[tex]\frac{DF}{AC}=\frac{DE}{AB}\\\\\frac{DF}{5}=\frac{2}{3}\\\\DF = \frac{2}{3}*5\\\\DF = \frac{10}{3}[/tex]

Perimeter of ΔABC = 3 + 5 +4.5 = 12.5cm

Perimeter of ΔDEF = 2 + 3 + 3.3 = 8.3 cm

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