abymartinez15
  • abymartinez15
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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abymartinez15
  • abymartinez15
anonymous
  • anonymous
The orthocenter is where the altitudes meet. Based on that, can you tell me where the orthocenter is?
abymartinez15
  • abymartinez15
it will be (5x+55) degrees

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anonymous
  • anonymous
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.
abymartinez15
  • abymartinez15
it will be 2x-9
anonymous
  • anonymous
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?
abymartinez15
  • abymartinez15
is x=7
anonymous
  • anonymous
There you go. Now, you can plug it into GD to solve for GD.
abymartinez15
  • abymartinez15
so it will be c right?
anonymous
  • anonymous
Not quite. You solved for what x is. However, GD = 2x - 9. So now, you need to plug in what x is. So, evaluate: \(2(7)-9\).
abymartinez15
  • abymartinez15
so its a
anonymous
  • anonymous
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.
abymartinez15
  • abymartinez15
Thanks

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