# Can someone help me find the area of this triangle?

I looked it up and it talked about Heron’s formula or something like that, but we haven’t learned that at all in my class so I didn’t use it because why would my teacher give me something I haven’t learned, you know? Anyways, I have no idea how to solve for this triangle’s area. Can someone help? Thanks!

I also know that the area is 1/2bh but what would be the height in this case?

The numbers are 22ft, 18ft, and 33ft in case that helps

I mean 24ft lol

### 3 Answers

- MichaelLv 75 months agoFavourite answer
With the 33 foot side as the base

Use Law of Cosines to find the angle opposite the 18 foot side

18² = 24² + 33² - 2(24)(33)CosA

Work that through and find

CosA = 0.84659

<A = 32.157º

Now you can find the height

Sin A = opp/hyp

Sin 32.157º = height/24

h = 24 * Sin 32.157º

h = 12.77

A = (1/2)bh

A =(1/2)(33)(12.77)

A = 210.7 ft³ <––––––

- 5 months ago
i cant read the numbers on the sides. I guess no one else can either.

- ...Show all comments
Lol sorry it meant to say 24 but being the stupid fool I am I wrote down 22. It was 18 and 33 also and they both had ft after them that’s why.

- Log in to reply to the answers

Thank you so much!