anonymous
  • anonymous
I have a question about trigonometry. I will write out the question. Once I post the question, I will then post an "answer" but it'd just be a drawing of how the triangle looks in the problem. Solve for x in the following right triangle, if a=53 and b=5.
Mathematics
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anonymous
  • anonymous
I have a question about trigonometry. I will write out the question. Once I post the question, I will then post an "answer" but it'd just be a drawing of how the triangle looks in the problem. Solve for x in the following right triangle, if a=53 and b=5.
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
|dw:1327031826563:dw|
anonymous
  • anonymous
hopefully that is readable. I tried drawing that with my laptop.
UnkleRhaukus
  • UnkleRhaukus
well \[√a^2=x^2+(x+b)^2\]

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UnkleRhaukus
  • UnkleRhaukus
\[a=x^2+x^2+2bx+b^2\] \[a=2x^2+2bx+b^2\]
Mertsj
  • Mertsj
|dw:1327032036209:dw|
Mertsj
  • Mertsj
|dw:1327032236614:dw|
UnkleRhaukus
  • UnkleRhaukus
triangles have positive side lengths
Mertsj
  • Mertsj
reject -7 since length of line segment can't be negative
Mertsj
  • Mertsj
so the result is x = 2
UnkleRhaukus
  • UnkleRhaukus
that is a 2,7,√53 triangle
anonymous
  • anonymous
So you're allowed to get the answer to equal 0, correct? (where you subtracted the 53 from the right side)
UnkleRhaukus
  • UnkleRhaukus
which we know is correct because \[2^2+7^2=√53^2\]
anonymous
  • anonymous
So you're allowed to get the answer to equal 0, correct? (where you subtracted the 53 from the right side)

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