Question

The perimeter of a triangle is 40 inches. The second side exceeds twice the first side by 1 inch, and the third side is 2 inches less than the second side. Find the length of each side of the triangle

Answer 1

please help anyone?! :)

Answer 2

I can help if you promise me some chocolate.

Answer 3

Let the first side's length be x; and let's proceed sentence by sentence.

Answer 4

The second side exceeds twice the first side by 1 inch.

How would you write this algebraically?

Answer 5

umm...

Answer 6

2+x+1?

Answer 7

im not suree =/

Answer 8

Twice implies multiplying, you are on the right track =D

Answer 9

Keep trying, you'll get it ;)

Answer 10

2x+x+1? im still not sure :(

Answer 11

Let the first side be x.then
second side=x+1
third side=(x+1)-2
A/q,
(x)+(x+1)+((x+1)-2)=40
x+x+1+x-1=40
3x=40
x=40/3

Answer 12

The second side exceeds twice the first side by 1 inch.
Twice the first side means -> 2x
Exceeds by 1 inch implies that's 1 inch more -> 2x+1

Got it?

Answer 13

ohhhh i get it

Answer 14

Alright so now we have
First side = x
Second side = 2x+1;

Now, the third side is 2 inches less than the second side. How would you write that algebraically?

Answer 15

2x+1-2?

Answer 16

Excellent! We can simplify that: \(2x-1\)

Answer 17

oh ok

Answer 18

Alright, now we got
First side = x
Second side = 2x+1
Third side = 2x - 1

What's the definition of a perimeter?

Answer 19

40

Answer 20

I mean, the definition of 'perimeter'

Answer 21

when you add up all the sides?

Answer 22

That's right, so in our case;
Perimeter = 1st side + 2nd side + 3rd side

Now you know what to do! :)

Answer 23

Perimeter means the sum of all the sides . & this case is done with every geometrical shape

Answer 24

okk i'll remember that

Answer 25

So? What's your equation? :D

Answer 26

well i got stumped on it..

Answer 27

no nevermind!

Answer 28

Got it? :D

Answer 29

i made a slight error thats what messed me up

Answer 30

is it 10?

Answer 31

x = 10?

Answer 32

wait no

Answer 33

ahh 8

Answer 34

Let's see, definition of 'perimeter': sum of all sides of a geometrical shape.

In our question, it would be the sum of all 3 sides
First side = x
Second side = 2x+1
Third side = 2x - 1

(x)+(2x+1)+(2x-1) would be our perimeter, which is 40

(x)+(2x+1)+(2x-1) = 40
x + 2x + 2x + 1 + 1 = 40
5x + 2 = 40
5x = 40 - 2
5x = 38
x = 38 \(\div\)5
x = 7.6