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28Tylerr Group Title

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 -->!

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

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

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

    • 2 years ago
  4. AccessDenied Group Title
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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

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

    • 2 years ago
  6. AccessDenied Group Title
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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|

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

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

    • 2 years ago
  9. AccessDenied Group Title
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    Yeah. :)

    • 2 years ago
  10. AccessDenied Group Title
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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.

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

    • 2 years ago
  12. AccessDenied Group Title
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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

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

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

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

    • 2 years ago
  16. AccessDenied Group Title
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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

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

    • 2 years ago
  18. AccessDenied Group Title
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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.

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

    • 2 years ago
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