Question

sharks teeth are shaped like triangles. The height of a tooth of a certain shark is 2 cm longer than the base. the area is 40 cm^2. Find the height and base.

Answer 1

So area of a triangle is (0.5*base*height)

Answer 2

Height = Base + 2 cm

Answer 3

Let base = b
so area = (0.5*b*(b+2)) = 40 cm^2

Answer 4

I'm sorry I just don't get it :/

Answer 5

okay, so you know that the area of triangle = (1/2)*base*height right?

Answer 6

yes

Answer 7

given that height is 2 cm longer than base right?

Answer 8

okay

Answer 9

So now you can write the area of triangle expression as (1/2)*(base)*(base+2) right?
we are replacing height term by base +2 here

Answer 10

I'm getting lost :(

Answer 11

okay lets assume a value for the base. How about x cm?

Answer 12

:/

Answer 13

so what will be the height?

Answer 14

4?

Answer 15

nope it will be x+2 right?

Answer 16

yes

Answer 17

you understood that right?

Answer 18

no

Answer 19

I'm BAD at math :(

Answer 20

okay no problem, lets start again

Answer 21

if base = 1 cm what is the height?

Answer 22

nevermind I give up :/ thanks tho

Answer 23

umm i can help you out

Answer 24

if base = 1cm, and height is 2cm longer than base
so height should be = 1cm + 2cm right?

Answer 25

okay..

Answer 26

and similarly if base = 2cm height = 2+2 cm right?

Answer 27

okay

Answer 28

so you see the pattern there?

Answer 29

a bit

Answer 30

for every value of base we are just adding 2 to it to get the value of height right?

Answer 31

okay

Answer 32

you got that right?

Answer 33

kinda

Answer 34

so lets see now you tell me what will be the height if base = 3cm?

Answer 35

3+3

Answer 36

or will it be 3+2

Answer 37

yes it will be 3+2, great!

Answer 38

yay

Answer 39

so lets get a step further, what will be the height if the base is x cm?

Answer 40

5?

Answer 41

No no the base is now x cm long (x is some value you do not know) what will be the height?

Answer 42

idk

Answer 43

What value will did you add to 3 to get the value of height earlier?

Answer 44

i have no idea. 2?

Answer 45

yup 2, thats correct!

Answer 46

:)

Answer 47

so how much will you add to the value of base to get the height?

Answer 48

You are doing good...

Answer 49

honestly i dont know

Answer 50

You were adding 2 right?

Answer 51

but 2 by what?

Answer 52

you were adding 2 to the value of base to get the value of height

Answer 53

uh forget it i dont know this problem. Im frustrated...thank you! bye :)

Answer 54

okay bye :)