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Q: Are Triangles similar to the same triangle are similar to each other?
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Can bisector of angle divide the triangle into similar triangle?

Given certain triangles, it would be possible for an angle to be bisected and create two new triangles which are similar to each other. And in the case of a [45°, 45°, 90°] right triangle, if you bisect the right angle, then you will create two new [45°, 45°, 90°] triangles (both similar to each other and similar to the original).


What is AAA in math?

In geometry when comparing two triangles, if all three angles of each triangle are congruent to corresponding angles in the other triangle, then both triangles are similar.


How do you make a triangle with 2 triangles and 1 rectangle?

If the 2 triangles are right triangles, which are congruent to slicing the rectangle on the diagonal, then arrange one on top of the rectangle, and the other to the side, so that the two hypotenuses are in line with each other. This will make a bigger right triangle, which is similar to the smaller right triangles - each side is double of the smaller triangles.


Can all isosceles triangles be equilateral triangles?

No, not all isoceles triangles can be equilateral triangles because an equilateral triangle has sides that are all equal to each other and an isoceles triangle has only two sides that are equal to each other.


What fractal is created when each triangle has an upside-down similar triangle removed from its middle which creates three smaller triangles similar to the original?

This is known as the Sierpinski triangle.

Related questions

Can bisector of angle divide the triangle into similar triangle?

Given certain triangles, it would be possible for an angle to be bisected and create two new triangles which are similar to each other. And in the case of a [45°, 45°, 90°] right triangle, if you bisect the right angle, then you will create two new [45°, 45°, 90°] triangles (both similar to each other and similar to the original).


What is AAA in math?

In geometry when comparing two triangles, if all three angles of each triangle are congruent to corresponding angles in the other triangle, then both triangles are similar.


How do you make a triangle with 2 triangles and 1 rectangle?

If the 2 triangles are right triangles, which are congruent to slicing the rectangle on the diagonal, then arrange one on top of the rectangle, and the other to the side, so that the two hypotenuses are in line with each other. This will make a bigger right triangle, which is similar to the smaller right triangles - each side is double of the smaller triangles.


Can all isosceles triangles be equilateral triangles?

No, not all isoceles triangles can be equilateral triangles because an equilateral triangle has sides that are all equal to each other and an isoceles triangle has only two sides that are equal to each other.


What fractal is created when each triangle has an upside-down similar triangle removed from its middle which creates three smaller triangles similar to the original?

This is known as the Sierpinski triangle.


Mathematics similarities of triangles?

Two triangles are considered to be similar if for each angles in one triangle, there is a congruent angle in the other triangle.Two triangles ABC and A'B'C' are similar if the three angles of the first triangle are congruent to the corresponding three angles of the second triangle and the lengths of their corresponding sides are proportional as follows: AB / A'B' = BC / B'C' = CA / C'A'


What fractal is created when each triangle has an upside down similar triangle removed from its middle which created three smaller triangles similar to the original?

It's called a Sierpinski triangle.


What fractal is created when each triangle has an upside down similar triangle removed from its middle which creates three smaller triangles similar to the original infinitely repeated?

Sierpinski Gasket


Do diagonals of a triangle bisect each other?

No, for the simple reason that triangles do not have diagonals.


How are triangles alike?

Triangles are alike or similar to each other when their sides are proportionate and have the same angles.


What angles are equal in similar triangles?

If the triangles are similar, then each of the three angles in one of them is equal to the corresponding angle in the other one.


What is a triangle congruence?

When triangles are identical in size and angles they are said to be congruent to each other