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# Are 1 2 3 triangles

Updated: 12/16/2022

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Q: Are 1 2 3 triangles
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### What is ratio of 2 circles and 3 triangles?

The ratio of 2 circles and 3 triangles can be expressed as : 2 : 3.

### What is the ratio of 2 circles and 3 triangles?

The ratio of 2 circles and 3 triangles can be expressed as : 2 : 3.

### Which figure will contain 33 total triangles if figure 1 has 3 triangles and figure 2 has 5 triangles?

The simplest pattern is 2n+1, so the 16th figure will have 33 triangles. Of course, if you are creating new triangles and also keeping the old triangles, this would be different.

### What is true about triangles if the triangular prism is made of 2 triangles and 3 rectangles?

That the triangles will be congruent

### What is the recurrence relation of the number of triangles inside a triangle?

Well, it just so happens that I figured this out for whoever was wondering... When n is even, and n+1 is odd (obviously) Sn+1 = Sn + (n+2)(3n+2)/4 When n is odd, and n+1 is even (obviously) Sn+1 = Sn + (n+1)(3n+5)/4 These formulas are for the total triangles in something that looks like this... /\ /_\ /\ /\ /_\ /_\ /\ /\ /\ /_\ /_\ /_\ This triangle has n=3 and has 13 total triangles. The general formula for total triangles is hard to find. And because this question doesn't ask for the general solution for any n, I won't post it. It is really fun to find though... The solution is shown below... Total Number of triangles = (n*n) + ( (n) * (n-1) * (4n+1) / 2 ) where n = (k+1) /2. K is the number of triangles on the each side. In the above example k is 3. k = 1 -&gt; Total Triangles = 1 k = 2 -&gt; Total Triangles = 4.875 ~ 5 k = 3 -&gt; Total Triangles = 13 k = 4 -&gt; Total Triangles = 26.875 ~ 27 k = 5 -&gt; Total Triangles = 48 k = 6 -&gt; Total Triangles = 77.875 ~ 78 and so on....

### What are a score or more facts relevant to triangles?

They are as follows:- 1 Triangles are 2 dimensional polygon shapes 2 Triangles have 3 sides 3 Triangles may have acute angles greater than 0 but less than 90 degrees 4 Triangles may have right angles which are 90 degrees 5 Triangles may have obtuse angles greater than 90 but less than 180 degrees 6 Triangles have 3 interior angles that add up to 180 degrees 7 Triangles have 3 exterior angles that add up to 360 degrees 8 Triangles can be scalene which have 3 acute angles 9 Triangles can be right angled with a 90 degree angle and 2 acute angles 10 Triangles can be obtuse with 1 obtuse angle and 2 acute angles 11 Triangles can be isosceles with 2 equal angles and another angle 12 Triangles can be equilateral with 3 equal angles of 60 degrees 13 Triangles have no diagonals 14 Triangles will tessellate 15 Triangles have lines of symmetry when they are isosceles or equilateral 16 Triangles have perimeters which is the sum of their 3 sides 17 Triangles have areas which is 0.5*base*altitude 18 Triangles can be used with Pythagoras' theorem if they are right angled 19 Triangles can be used in conjunction with trigonometry 20 Triangles are found in all other polygons 21 Triangles and their properties were known by the ancient Greeks 22 Triangles can be made into musical instruments

### How many triangles and rectangles are in a triangular prism?

2 triangles and 3 rectangles(:

### What 3 shapes will cover a trapezoid?

3 triangles will cover a trapezoid. 2 will be up and 1 will be down, or vise-versa.

### Does a triangle have 2 congruent sides?

Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.

Three triangles

### What are 4 2d shapes?

1. circles 2. triangles 3. squares 4. any of the polygons

### How calculte area of hexagon if the height have 2 units?

This must be a regular hexagon. Draw a height from the lower left vertex to the upper left vertex (2 units). Draw a horizontal diagonal thru the hexagon "left to right". These lines create 2 triangles on the left. A hexagon has angles of 60 degrees. Because the two extra lines are perpendicular so this means the triangles are 30-60-90 triangles. The altitude of these triangles is 1/2 the height of the hexagon, so these 1re 1 unit. 30-60-90 triangles have sides in the ratio of 1 to sq rt 3 to 2, since our side opposite the 60 degree angle is 1 unit, set up a proportion and the hypotenuse of the triangle is 2 (sq rt 3)/3. The other side is (sq rt 3)/3.Now draw one triangle from the center of the hexagon to any 2 adjacent vertices. This creates an equilateral triangle. Its sides are all 2 (sq rt 3)/3. Draw an altitude, which will cut that triangle into another 30-60-90 triangle. The altitude of this triangle is 1 unit (by proportion or the Pythagorean theorem). So the area of this one triangle is 1/2 bh = 1/2 (2(sq rt 3)/3)(1) = (sq rt 3)/3.Since there are 6 of these triangles, multiply by 6 to get the total area of the hexagon. (sq rt 3)/3 x 6 = 2(sq rt 3) answer.