Question

Does anybody know the Heron's Formula?

Answer 1

To find area of a triangle using side-lengths?

Answer 2

Yes, but do you know the formula/ equation?

Answer 3

For a triangle with side lengths a, b, and c; the formula is:
\( \displaystyle A = \sqrt{ s (s - a)(s - b) (s - c) } \)
Where
\( s = \dfrac{a+b+c}{2} \) Called semi-perimeter, as in a+b+c is perimeter, divide that by 2 for semi, or half the perimeter.

Answer 4

Ok. So which one would I use to find area of a right triangle?
Would it be the first equation? :
A = s(s-a)(s-b)(s-c)

Answer 5

i think that it's S-B

Answer 6

That depends on how much information is given.
For a right triangle, you have two perpendicular legs though, so if you know those two side lengths you just need A = 1/2 base * height

Answer 7

what grade are u in

Answer 8

10th

Answer 9

Both equations do work, though, but A = 1/2 b h is more convenient for a right triangle whose side lengths we know.

Answer 10

Ok. Do you think you can help me solve this problem then?

Answer 11

Sure. :)

Answer 12

Ok :) The question says to 1) Use Heron's Formula to find the area of this triangle.
2)Verify your answer to part (1) by using the formula A=1/2 bh

Answer 13

So, our first objective is to find Area using Heron's formula.
\( A = \sqrt{ s (s - a)(s - b)(s - c)} \), \( s = \dfrac{a+b+c}{2} \)
As with any other formula, we just need to fill out the variables and calculate a result.
I like to start with just calculating s first.
To find s, you just need the perimeter of your triangle, and then divide by 2. You know how to do that? :)

Answer 14

And, it is not important which variable represents each side, as long as each variable has one side with it.

Answer 15

I have to add all the sides of the triangle, right?

Answer 16

Yep.

Answer 17

Perimeter is 36 in.