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The following is a simple way to divided any triangle into n^2 congruent triangles (n > 1):
- Divide each side of the triangle into n equal parts,
- Select a pair of lines and join pairs of the above division marks with lines which will be parallel to the third side.
- Repeat step 2 with the other two pair of lines.
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Divide a triangle into four congruent triangles?
Any plane triangle can be divided into four congruent triangles. Find the midpoint of each side, and draw a line from each midpoint to the other two midpoints. Forgive the crude ASCII graphics: <pre> + |\ + + | \ +-+-+ original triangle + |\ +-+ |\ |\ +-+-+ divided triangle + |\ +-+ each congruent triangle </ref>
What two triangles which are not congruent?
No isosceles triangle in the world is congruent to any equilateral triangle. No equilateral triangle in the world is congruent to any right triangle.
Does a median divide a triangle into two congruent triangles?
Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.
If the hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of another triangle are the triangles congruent?
yes
How do you describe triangles by the sides?
Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
