For what type of triangle is the orthocenter always a vertex of the triangle?
2 answers:
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Answer:
Step-by-step explanation:
Now taking 3x to right hand side of the eqn . & +1 to the left side eqn. , sign of 3x changes to -3x & +1 changes to -1 .
Now solving this , we get the value of x.
Answer:
-2<x<4
Step-by-step explanation:
For , note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.
This means x+2>0 and x-4<0 or x+2<0 and x-4>0.
Lets look at the first scenario (x+2>0 and x-4<0)
x+2>0 and x-4<0
x>-2 and x<4
This means that -2<x<4.
Let’s look at the other scenario (x+2<0 and x-4>0)
x+2<0 and x-4>0
x<-2 and x>4
This means that x must be <-2 and >4 simualtaneously, which is impossible.
Therefore, this only occurs when -2<x<4.
I hope this helps! :)