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anonymous

  • 2 years ago

6 review questions help please? medal!

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  1. anonymous
    • 2 years ago
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    1. What is the value of h? a. 4 b. 8 sqrt 3 c. 16 d. 8 sqrt 2

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  2. whpalmer4
    • 2 years ago
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    Okay, you have an isosceles right triangle here, because both of the angles are the same. What does that imply about the associated sides?

  3. anonymous
    • 2 years ago
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    They have 2 equal sides and 2 equal angles?

  4. whpalmer4
    • 2 years ago
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    Right. So what is the length of the other leg of the triangle?

  5. anonymous
    • 2 years ago
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    4 ?

  6. whpalmer4
    • 2 years ago
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    |dw:1393634970228:dw| What is the value of ???

  7. anonymous
    • 2 years ago
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    I'm still not sure .. /:

  8. whpalmer4
    • 2 years ago
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    come on, we said this was an isosceles triangle, which means two equal angles and two equal sides!

  9. whpalmer4
    • 2 years ago
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    Doesn't that mean ??? has to be 8?

  10. anonymous
    • 2 years ago
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    why would it be 8 ?

  11. anonymous
    • 2 years ago
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    sorry I feel stupid >_<

  12. whpalmer4
    • 2 years ago
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    because it is an isosceles triangle. One of the sides is 8. Another one must be 8 as well, and it can't be the hypotenuse, because the hypotenuse is the longest side.

  13. whpalmer4
    • 2 years ago
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    it's an isosceles triangle because it has two equal angles. You see that part, right?

  14. anonymous
    • 2 years ago
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    ohhhhh ok I understand

  15. whpalmer4
    • 2 years ago
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    So we can update our drawing: |dw:1393635393884:dw| If the two sides labeled 8 are \(a=8,b=8\) respectively, what is the length of the hypotenuse, \(c\)? Use the Pythagorean theorem

  16. anonymous
    • 2 years ago
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    k hold on

  17. anonymous
    • 2 years ago
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    its a^2+b^2=c^2 do I add the 45 degrees together to get c? or is the 8?

  18. whpalmer4
    • 2 years ago
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    The Pythagorean theorem relates only to the lengths of the sides. Angles don't matter (except, of course, that one of them must be 90 degrees for it to be a right triangle).

  19. whpalmer4
    • 2 years ago
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    \[a^2+b^2=c^2\]\[8^2+8^2=c^2\]\[2*8^2 = c^2\]Take the square root of both sides:\[\sqrt{2*8^2} = \sqrt{c^2}\]Simplify\[8\sqrt{2} = c\] If you have a \(45^\circ/45^\circ/90^\circ\) triangle such as this one, the side lengths are always in the ratio \(1:1:\sqrt{2}\)

  20. anonymous
    • 2 years ago
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    is that the way you would do it for this kind of triangle too ?

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  21. anonymous
    • 2 years ago
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    @whpalmer4

  22. whpalmer4
    • 2 years ago
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    I don't understand your question.

  23. anonymous
    • 2 years ago
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    Use the Pythagorean theorem

  24. whpalmer4
    • 2 years ago
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    Well, yes, if you know 2 sides in a right triangle, you can use the PT to find the 3rd side.

  25. anonymous
    • 2 years ago
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    okay ty c:

  26. whpalmer4
    • 2 years ago
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    you're welcome

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