top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

We have a triangle and a line and three statement about them:

+1 vote
156 views

We have a triangle and a line and three statement about them:

  • The line goes through the midpoint of the incircle of the triangle.
  • The line divides the triangle's area into two equal areas.
  • The line divides the triangle's perimeter into two equal parts.

Is it always true, that if any two of the statement is true, then the third is also holds true?

posted Jun 21, 2017 by anonymous

Looking for solution? Promote on:
Facebook Share Button Twitter Share Button LinkedIn Share Button




Similar Puzzles
0 votes

If I score a goal, then we will win. Which of the following statements can be logically concluded from the above statement and why?
a) We didn't win, I didn't score a goal
b) We tied, I scored two goals
c) We won, I scored a goal
d) Exactly two of the statements

+1 vote

Find the area of the shaded region in the following image (We have an isosceles triangle with lengths 10, 10, 12)?

Shaded Region

0 votes

An acute triangle has a circumcircle, as shown in image. Minor arcs are reflected about each side of the triangle.
Do the three reflected arcs intersect at the same point?

enter image description here

Note: Share your reasoning...

+3 votes

The figure shows an isosceles triangle with AB = BC. The line DE cuts AC extended at F. If AD=5, CE=3 and EF=8 find DE.

Find DE

0 votes

In a large equilateral triangle, we draw the incircle. In the incircle, we draw another equilateral triangle.
What is the ratio of the area of the smaller equilateral triangle to the larger equilateral triangle?

enter image description here

...