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abymartinez15

  • one year ago

Where is the orthocenter of obtuse triangle CDE located? Find GD. A. outside of the triangle; GD = 5 B. inside the triangle; GD = 5 C. outside of the triangle; GD = 7 D. inside the triangle; GD = 7

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  1. abymartinez15
    • one year ago
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  2. anonymous
    • one year ago
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    The orthocenter is where the altitudes meet. Based on that, can you tell me where the orthocenter is?

  3. abymartinez15
    • one year ago
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    it will be (5x+55) degrees

  4. anonymous
    • one year ago
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    Well, the 5x+55 is at a right angle. So, the equation you want to solve for x is 5x + 55 = 90 since it's a right angle.

  5. abymartinez15
    • one year ago
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    it will be 2x-9

  6. anonymous
    • one year ago
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    Ok, GD = 2x - 9, yes. However, to solve for GD, we need to solve for what 'x' is to plug in. The only information that lets us solve for what x is that 5x5 + 55 is a right angle. This means that \(5x+55=90\). Can you solve for what \(x\) is?

  7. abymartinez15
    • one year ago
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    is x=7

  8. anonymous
    • one year ago
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    There you go. Now, you can plug it into GD to solve for GD.

  9. abymartinez15
    • one year ago
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    so it will be c right?

  10. anonymous
    • one year ago
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    Not quite. You solved for what x is. However, GD = 2x - 9. So now, you need to plug in what x is. So, evaluate: \(2(7)-9\).

  11. abymartinez15
    • one year ago
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    so its a

  12. anonymous
    • one year ago
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    Yes. And you know that the orthocenter is outside of the triangle because CDE is an obtuse triangle, which means the altitudes intersect outside of the triangle. Good job.

  13. abymartinez15
    • one year ago
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    Thanks

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