Anonymous
Anonymous asked in Education & ReferenceHomework Help · 5 months ago

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!

Update:

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

Update 2:

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

Update 3:

I mean 24ft lol 

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3 Answers

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  • 5 months ago
    Favourite 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 <––––––

     

    Attachment image
    • linzie5 months agoReport

      Thank you so much!

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  • 5 months ago

    i cant read the numbers on the sides.  I guess no one else can either. 

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    • linzie5 months agoReport

      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. 

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  • Anonymous
    5 months ago

    The height looks to be 220 in your fuzzy pic. It's half base x height just to be clear.

    • Jacob5 months agoReport

      "It's half base x height just to be clear." **, all even I knew that.

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