How do I use Heron’s Formula to find the area of the triangle?

A triangle has a perimeter of 105 inches. The lengths of the sides of the triangle are consecutive odd integers. Find the length of the sides and then use Heron’s Formula to find the area of a triangle.

find the length of each side
let the consecutive odd numbers be a=x ,b= x+2, c=x+4
formula for a perimeter {a+b+c=105}

x + (x+2) + (x+4) = 105
x+x+x=99
3x=99
x=33

therefore length of each side is
a=33, b=35, c=37

then just plug this into the herrons formula’s

step one:
find half the parimeter (set as variable H impling half perimeter)

step two use:
Find area,
area = squareroot (H (H-a) (H-b) (H-c))

just plug in the numbers and u got the answer…. not doing the calculation cuz the best way to understand math is by doing it urself even if u hate it.

This entry was posted on Saturday, March 6th, 2010 at 10:15 pm and is filed under area formula. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

One Response to “How do I use Heron’s Formula to find the area of the triangle?”

Mujtaba Y on March 7th, 2010 at 3:59 am

find the length of each side
let the consecutive odd numbers be a=x ,b= x+2, c=x+4
formula for a perimeter {a+b+c=105}

x + (x+2) + (x+4) = 105
x+x+x=99
3x=99
x=33

therefore length of each side is
a=33, b=35, c=37

then just plug this into the herrons formula’s

step one:
find half the parimeter (set as variable H impling half perimeter)

step two use:
Find area,
area = squareroot (H (H-a) (H-b) (H-c))

just plug in the numbers and u got the answer…. not doing the calculation cuz the best way to understand math is by doing it urself even if u hate it.
References :

Area List