Suppthat cachbSuppe that eachsQifons side of s ighsSuppe atcachMal-Coten tMeresot Cfice Ianhy s ath-MQaesdefangtbName:Writing in Math 12Suppose that each side of Triangle A has length 1 and thus has a perimeter of 3. What is the sumof the perimeters of the red triangles in Triangle E?AAAAATriangle ATriangle BTriangle CTriangle DTriangle ECheese a sesa1/amDELLer you legis with your US usernatiPa dSelectusImSck on 'Connect424WERYUOPetersAFGHLcrarAXCVMSeAYAitCtri

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Asked Nov 20, 2019
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anyone good with traingles?

Supp
that cach
bSuppe that eachs
Qifons side of s ighs
Suppe atcach
Mal-Coten t
Meresot Cfice I
anhy s ath-M
Qaesdefangt
b
Name:
Writing in Math 12
Suppose that each side of Triangle A has length 1 and thus has a perimeter of 3. What is the sum
of the perimeters of the red triangles in Triangle E?
AAAAA
Triangle A
Triangle B
Triangle C
Triangle D
Triangle E
Cheese a s
esa
1/am
DELL
er you legis with your US usernati
Pa d
Select
usI
m
Sck on 'Connect
4
2
4
W
E
R
Y
U
O
P
eters
A
F
G
H
L
crar
A
X
C
V
M
Se
AY
Ait
Ctri
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Supp that cach bSuppe that eachs Qifons side of s ighs Suppe atcach Mal-Coten t Meresot Cfice I anhy s ath-M Qaesdefangt b Name: Writing in Math 12 Suppose that each side of Triangle A has length 1 and thus has a perimeter of 3. What is the sum of the perimeters of the red triangles in Triangle E? AAAAA Triangle A Triangle B Triangle C Triangle D Triangle E Cheese a s esa 1/am DELL er you legis with your US usernati Pa d Select usI m Sck on 'Connect 4 2 4 W E R Y U O P eters A F G H L crar A X C V M Se AY Ait Ctri

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Expert Answer

Step 1

 

The perimeter of a triangle is the sum of all the sides of triangles.

Length of each side of triangle A = 1.

And since the perimeter of triangle A is given 3 therefore, we can conclude that the triangle is an equilateral triangle.

Let M = 3.

Step 2

Now in triangle B, the smaller triangle is made by joining the midpoints of the sides of the triangle A. Therefore, the smaller triangle is also an equilateral triangle and the length of sides of the smaller triangle will be half of the sides of the triangle A i.e 1/2. Therefore, the perimeter of smaller triangle in B is 3 × 1/2 = 3/2.

Let this value be N. Therefore, N = 3/2.

 

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1/2 1/2 1/2 1/2 1/2 1/2 1/2 triangle B

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Step 3

Now in triangle C, the 3 smaller triangles are made by joining the midpoints of the triangles with the length of side ½. Therefore, the length of the sides of the 3 smaller triangles will be ¼. Now perimeter of one smaller triangle will be 3...

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1/4 1/2 1/4 1/4 1/4 triangle C

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Algebra