Question

Question Below. I need help please.

Answer 1

Try to analyse the pattern of how many 6's and 5's appears in function of how many triangles you have

Answer 2

Ask your self, how the number of 6's and 5's are changing while more and more triangles are getting together

Answer 3

I just explained this..

Answer 4

Perimeter is the sum of all sides..in this case the perimeter of one triangle is 6 + 6 + 5.

Two triangles will be 6 + 6 + 6 + 6 + 5 + 5

Three will be 6 + 6 + 6 + 6 + 6 + 6 + 5 + 5 + 5

Answer 5

this is the third time then, I thought it was a second time since I have also previously attempted to help with this Q.

Answer 6

Well you have, 1 five then 2 then three. And 2 sixes 4 sixes and 6 sixes.

Answer 7

Because the extra triangles have the same side lengths..

Answer 8

Which means they have the same perimeter.

Answer 9

They do but the question is different that goes with the triangles.

Answer 10

First add 6 + 6 + 5, @Jonnychewy

Answer 11

You have to count only the external sides in order to sum the perimeter... so how many 6's we have? is that a constant?

Answer 12

What do you get? @Jonnychewy

Answer 13

see see 12 is in every triangle only 5 is added
one triangle 1 five
2 triangles 2*5
3 triangles 3*5
.........
n triangles n*5
?

Answer 14

17 @iGreen

Answer 15

Yes, so we can write the expression p = 17n..since each triangle added has the same perimeter.

Answer 16

Where 'n' is the number of triangles, and 'p' is the total perimeter.

Answer 17

i think P=12+5n

Answer 18

Is it n=6

Answer 19

@iGreen

Answer 20

for 1 triangle n=1
for 2 triangles n=2
for three triangles n=3
...................

Answer 21

1 Triangle: 2*6 + 1*5
2 triangles: 2*6 + 2*5
3 triangles: 2*6 + 3*5
...
n triangles: 2*6 + n*5
so...
p(n) = 12+5n

Answer 22

n is the number of triangles you have..

So if you want to find the perimeter of 9 triangles, plug in n = 9.

Answer 23

Why would it be p = 12 + 5n instead of p = 17n? @surjithayer @M4thM1nd

Answer 24

yes

Answer 25

it would be 17n if you sum all teh sides, including internal sides. The perimeter is only the sum of external sides

Answer 26

Ohh, that's right..I included the internal sides..sorry.

Answer 27

Shoot @M4thM1nd I didnt think about that!

Answer 28

I see..adding each triangle will keep the 6 on one end of the figure, and a 6 on the other..resulting in 12..which is how you got 12 in your equation.

And adding a triangle adds a '5' to the outside..which gives us 5n..

Answer 29

actually, if you sum all ten sides, it will not be 17n, because you would be counting n-1 side more

Answer 30

if we have to count all the sides, including internal ones, it will be 17n - 6*(n-1)