The orthocenter is where the altitudes meet. Based on that, can you tell me where the orthocenter is?
it will be (5x+55) degrees
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.
it will be 2x-9
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?
There you go. Now, you can plug it into GD to solve for GD.
so it will be c right?
Not quite. You solved for what x is. However, GD = 2x - 9. So now, you need to plug in what x is. So, evaluate: \(2(7)-9\).
so its a
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.