Question

the sides of a triangle are in the ratio 3:4:5.If the longest side of the triangle is 40 in longer than the shortest side,find the preimeter of the triangle

Answer 1

@AloneS

Answer 2

cherry than you check these numbers 3,4 and 5

what triplet are these ?

Answer 3

3^2 +4^2 =5^2

hope this will help you understanding my question

Answer 4

so 9 +16 = 25?

Answer 5

yes but these has the name of pythagorean triplet or trio

Answer 6

do you know the pythagora"s theorem ?

Answer 7

no...

Answer 8

@AloneS please how can you explain to asker than that in this case this is a right triangle than she or he dont learned again about pythagoras theorem ?

Answer 9

i dont want the answer but do you know the answer to this question?

Answer 10

yes but i like help you understanding it clearly easy

Answer 11

yeah thanks! i really need to understand on how to do this

Answer 12

but than you dont know that from this ratio of 3,4,5 result that this triangle is a right triangle so idk. how can i explain this to you ?

Answer 13

idk ....

Answer 14

The pythagorean theorem is : If a triangle has sides ABC where C is the hypotenuse, then \[A^2+B^2=C^2\]

Answer 15

oooooooooooooo

Answer 16

Benji you talk about a right triangle ,yes ? please clearify

Answer 17

just bc. than your triangle not is right so this equation not is true

Answer 18

wait so what do i need to do first with this question?

Answer 19

Benji this is your way - please help

Answer 20

cherry do you know what mean hypotenuse ?

Answer 21

the longest side of a right triangle, opposite the right angle.

Answer 22

exactly very nice

Answer 23

This is what we know so far. The Longest side (hypotenuse) is 40inches longer than the shortest side (x).

Answer 24

ok

Answer 25

GREAT Benji

Answer 26

we are still trying to find the perimeter right?

Answer 27

?

Answer 28

Benji you not can continuing ?

Answer 29

benji help please

Answer 30

use this given ratio of sides 3,4 and 5

Answer 31

Benji you know that the hypothenuse has a length of x+40 and the shorter side has a length of x

how you wrote above use pythagorean theorem and calculi the length of second side

Answer 32

Sorry I had to figure it out real quick, ok so we have a ratio of 3:4:5, that means no matter what the lengths of the sides are, they can all be divided back down to 3:4:5, okay? So we have to find a number that can be divided by 3 and a number that can be divided by 5, that is also 40 more than the number that can be divided by 3.

Answer 33

So if we start with 3:4:5 and multiply them all by say 10, we have 30:40:50, okay? The largest length is only 20 more than the smallest, so we need bigger numbers.

Answer 34

Cherry, pick another number greater than 10 and let's see if we get it.

Answer 35

okay um 15

Answer 36

Alright, 15 would give us 45:60:75, does that work?

Answer 37

yes?

Answer 38

wait but

Answer 39

We need the difference to be 40, the difference of 75 and 45 is only 30, so we need a bigger number.

Answer 40

20

Answer 41

lets try 20 then

Answer 42

its 20

Answer 43

Ok, 20 gives us 60:80:100, that's right! So we have:

Answer 44

Now we need the perimeter, which is just the sum of all the sides-as if we were to walk around the whole triangle, what is the perimeter?

Answer 45

240

Answer 46

!

Answer 47

Right

Answer 48

so 240 is the answer

Answer 49

240 inches is the answer yes

Answer 50

OMG THANK YOU SO MUCH! <3

Answer 51

Benji you are a very smart helper - perfect explained - very very nice job

GREAT really

Answer 52

Yep :)

Answer 53

ty @jhonyy9

Answer 54

you guys are the best thank you so much :)

Answer 55

np

welcome and hope i will can collaborate with you more much in future

Answer 56

good luck cherry

hope you ve understood it all right easy every steps

Answer 57

thanks !

Answer 58

np

welcome

bye bye and anytime just tag me

Answer 59

alright :)