# In the plane of the triangle #ABC# we have #P# and #Q# such that #vec(PC)=3/2vec(BC)#and #vec(AQ)=1/4vec(AC)#,and #C'#is the middle of #[AB]#.How to demonstrate that #P,Q # and #C'# are collinear points with theorem of Menelaus?

Please refer to a Proof in the Explanation.

By Menelaus Theorem, if we can show that,

Enjoy Maths.!

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A triangle has corners A, B, and C located at #(2 ,9 )#, #(1 ,4 )#, and #(6 , 5 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners A, B, and C located at #(2 ,3 )#, #(8 ,8 )#, and #(4 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A line segment is bisected by a line with the equation # 4 y + x = 8 #. If one end of the line segment is at #(5 ,6 )#, where is the other end?
- What is the orthocenter of a triangle with corners at #(4 ,3 )#, #(9 ,5 )#, and (8 ,6 )#?
- Q is the midpoint of GH¯¯¯¯¯¯ , GQ=2x+3, and GH=5x−5 . What is the length of GQ¯¯¯¯¯ ?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7