Question

Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle.

a = 240
b = 127
c = 281

Answer 1

check if sum of any two side is always greater than the reamining side...

Answer 2

Heron's formula for the area of triangle is given by
sqrt( s*(s-a)*(s-b)*(s-c)) where 2s=a+b+c

Answer 3

Heron say it look :
p=1/2 all the p
2p= all the p
Heron says :
\[\sqrt{p(p-a)(p-b)(p-c)}\]

Answer 4

I did that, but I'm not getting anything equivalent to my choices.

Answer 5

u didnt give numbers !

Answer 6

@Loveiskey18

Answer 7

@@@@@@@Loveiskey18

Answer 8

My choices:

No triangle is formed.

21,237.83

21,223.73

15,183.77

Answer 9

My apologies.

Answer 10

My nean was a , b ,c in triangle !
u didnt give them!

Answer 11

I did.

Answer 12

a = 240
b = 127
c = 281

Answer 13

@E.ali

Answer 14

Ok !
Now find p :
p=240+127+281/2
OK ?!

Answer 15

324.

Answer 16

Exelent !
Now go with formula :
(get a , b , c , p)in and get numbers !
Can u do it ?!:)

Answer 17

What is P?

Answer 18

Oh excuse me its 2p means around !

Answer 19

2p maens that : 240+127+281/2 .
I was falled last :(
Now can u answer ?
Look :
in heron we want p means 1/2 2p .
OK ?!

Answer 20

So for p, I put 2?

Answer 21

Yeah !
So p=324/2=162

Answer 22

@Loveiskey18 :Can u answer friend ?

Answer 23

I do not know what to do after You did that:p=324/2=162

Answer 24

OK !
Now we have the Heron formula :

\[\sqrt{p(p-a)(p-b)(p-c)}\]

Answer 25

Another way to express the formula
where s is semi-perimeter
Semi-Perimeter = (240+127+281)/2
= 648/2 = 324

area = square root (s • (s - 240) • (s - 127) • (s - 281))

Answer 26

Si its :
\[\sqrt{162(162-240)(p-127)(162-281)}\]

Answer 27

@wolf1728:u are realy fall friend !
It s p not s .!

Answer 28

@Loveiskey18 : Got it ?!:)

Answer 29

Yes. I got 2923830 sqrt(2)

Answer 30

Any problem ?
Did u get it rely ?!:)

Answer 31

I calculate 15,183.765540866336 or 15,184 rounded

Answer 32

The answer isnt importent I dont calculat that !
Formula is important !:)

Answer 33

Yes, I obtained the answer using Heron's formula

Answer 34

OK :)

Answer 35

@E.ali Why do you have a smiley face, according to @wolf1728 my answer is incorrect.

Answer 36

@Loveiskey18 : I never say that :)
I have another bean :(

Answer 37

What is your bean?

Answer 38

Thank You both, @wolf1728 and @E.ali

Answer 39

Your welom Sir !:)

Answer 40

Okay and thank you Loveiskey18

Answer 41

I'm not a Sir.

Answer 42

Oh excuse me Modom :(
I didnt know :( I m sorry

Answer 43

Not to run this into the ground but try this calculator
http://www.mathsisfun.com/geometry/herons-formula.html
or this one
http://keisan.casio.com/exec/system/1223267646
or this one
http://mste.illinois.edu/dildine/heron/triarea.html
and see what you get

Answer 44

@wolf1728 : Thanks !

Answer 45

They are all correct, 15183.7.

Answer 46

:)

Answer 47

Thanks Loveiskey18 :-) and Eali :-)

Answer 48

You're Welcome.

Answer 49

You re welcome !:)