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28Tylerr

  • 2 years ago

Find one area of each triangle. Round intermediate values of the nearest tenth. Ust the rounded values to calcuate the next value. Round your final answer to the nearest tenth. Please help and show work! Drawing Below -->!

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  1. 28Tylerr
    • 2 years ago
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    |dw:1337035285613:dw|

  2. AccessDenied
    • 2 years ago
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    So, what is the formula for area of a triangle?

  3. 28Tylerr
    • 2 years ago
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    a2 +b2= c2 and a= 1/2 bh.

  4. AccessDenied
    • 2 years ago
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    ok, so we have the height. We want to find the base length to plug into the area formula Of course, you went a step ahead and gave the next formula as well. We would have to use Pythagorean Theorem to determine the length of the base. a^2 + b^2 = c^2

  5. 28Tylerr
    • 2 years ago
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    So would it be a2 +8^2 =7^2

  6. AccessDenied
    • 2 years ago
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    In a^2 + b^2 = c^2, the a^2 and b^2 represent the squared lengths of the legs of the triangle. The c^2 represents the hypotenuse length squared. |dw:1337037273817:dw|

  7. AccessDenied
    • 2 years ago
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    So you'd have 7^2 + b^2 = 8^2. We'd solve for b there.

  8. 28Tylerr
    • 2 years ago
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    Ok so it would be 7^2 + b^2 = 8^2?

  9. AccessDenied
    • 2 years ago
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    Yeah. :)

  10. AccessDenied
    • 2 years ago
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    Once we find b there, we round it to the nearest tenth and then apply it in the area formula with the height 7 and that as the base.

  11. 28Tylerr
    • 2 years ago
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    So what would the total answer be for the a2 + b2 = c2?

  12. AccessDenied
    • 2 years ago
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    7^2 + b^2 = 8^2 49 + b^2 = 64 b^2 = 15 b = sqrt{15} then you can evaluate this in calculator to round it to nearest tenth

  13. 28Tylerr
    • 2 years ago
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    I typed it in and squared rooted it and I still got 15

  14. AccessDenied
    • 2 years ago
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    Hm maybe it was typed in wrong. I get sqrt(15) ~ 3.87298

  15. 28Tylerr
    • 2 years ago
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    So would the round to 4?

  16. AccessDenied
    • 2 years ago
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    we round it to nearest tenth, so we look at the 3.87 and determine whether to keep 3.8 or go to 3.9

  17. 28Tylerr
    • 2 years ago
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    We would keep it at 3.9?

  18. AccessDenied
    • 2 years ago
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    Yes, we use 3.9. So, just plug it into area formula \(A = \frac{1}{2} b h \) with b = 3.9 and h = 7 and solve for A. It looks like you have to round the value of A to nearest tenth also.

  19. AccessDenied
    • 2 years ago
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    So, what I get is A = 1/2 (3.9) (7) = 13.65 = 13.7 rounded up to nearest tenth.

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