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How do you form two triangles by drawing 4 lines?

Make an equilateral triangle(all same sides) with 3 lines and put the 4th on right through the middle and you have 2 right angle triangles.


How A pentagon can be divided into how many triangles by drawing all of the diagonals from 1 vertex?

Three triangles


How many triangles are in a drawing of a pentagram inside a pentagon?

35. To check this, you need to check every possible type of triangle, and then consider that there are 5 of this type (or in one case, 10), and add everything up.


How do you make 5 triangles with 9 line?

I get 9 triangle with fewer than 9 lines. Draw a square: ABCD (4 lines) Draw the diagonals AC, BD (2 lines) which meet at X in the centre. On a separate part of the page, draw triangle PQR (3 lines). That is 4 + 2 + 3 = 9 lines. The triangles are: ABC, BCD, CDA, DAB, AXB, BXC, CXD, DXA, and PQR 9 triangles with 9 lines. Could have done 13 triangles with 7 lines by drawing a line from A to BC.


How does one find formula for an equilateral triangle from the generic formula x bh over 2 x?

the formula for the area of equilateral triangle with side length a is (a^2)(sqrt(3)/4 ) So draw an equilateral triangle with sides a,a,a. Now divide it into two triangles by bisecting the top angle and extending that line down so it makes a 90 angle with the base. (any angle will do since it is symmetric, but I am trying to help you draw it) Now the new half triangle you have is a 30 60 90 triangle since the top angle is half the original which was 60 and the lower left angle is still 60. The 90 degree angle is the third angle and we are drawing it this way so we have a that the side between the 30 and 90 degree angles is the height of the triangle and we can use 1/bh which is the area formula. The new base has length a and the height is sqrt3(a) because it is a 30-60-90 triangle so 1/2 bxh= 1/2(1/2 )a (sqrt3)a=(1/4)a^2( sqrt3 )since 1/2 base = a/4 and height is sqrt3 x a

Related Questions

How do you find four equilateral triangles connected to square?

To find four equilateral triangles connected to a square, start by drawing a square. Then, attach one equilateral triangle to each side of the square, ensuring that each triangle shares a side with the square. The vertices of the triangles should meet at the corners of the square. This arrangement will create a geometric figure with four equilateral triangles surrounding the square.


How do you form two triangles by drawing 4 lines?

Make an equilateral triangle(all same sides) with 3 lines and put the 4th on right through the middle and you have 2 right angle triangles.


What is a drawing equilateral triangle?

a triangle where all three sides and all three angles are the same.


Explain how to draw an equilateral triangle?

An equilateral triangle means a triangle with all three sides with equal dimensions. For drawing an equilateral triangle first you will have to choose a measurement to draw the sides of the triangle. For example, lets take the side to be 4cm. When you draw the base of 4cm you will have to draw the other two sides of 4cm as well. Thus an equilateral triangle is constructed..


What is the proof that equiangular triangle is also called equilateral triangle?

Label the triangle ABC. Draw the bisector of angle A to meet BC at D. Then in triangles ABD and ACD, angle ABD = angle ACD (equiangular triangle) angle BAD = angle CAD (AD is angle bisector) so angle ADB = angle ACD (third angle of triangles). Also AD is common. So, by ASA, triangle ABD is congruent to triangle ACD and therefore AB = AC. By drawing the bisector of angle B, it can be shown that AB = BC. Therefore, AB = BC = AC ie the triangle is equilateral.


How do you make a 6 piece triangle tangram?

To create a 6-piece triangle tangram, start with an equilateral triangle and divide it into smaller sections. First, draw a line from each vertex to the midpoint of the opposite side, forming three smaller triangles. Then, bisect each of these smaller triangles by drawing a line from the midpoint of one side to the opposite vertex. This method will yield six distinct triangle pieces that can be rearranged into various shapes.


What is the angle of rotation for a point on a circle for drawing an equilateral triangle?

The angle of rotation for a point on a circle to draw an equilateral triangle is 120 degrees, as the triangle's three equal angles divide the circle into three equal 120° arcs.


How do you solve the side of a hexagon?

A regular hexagon can be divided into 6 equilateral triangles by drawing diagonals between opposite vertices, if that helps.


How many triangles are there by drawing all diagonals from one vertex of a pentagon?

Consider the pentagon ABCDE. By drawing diagonals from B, we get: 1. Triangle ABE 2. Triangle BDE 3. Triangle BCD -Ashwin Hendre


How many triangles would it take to make this hexagono?

To create a hexagon using triangles, you can divide the hexagon into 6 equilateral triangles by drawing lines from each vertex to the center of the hexagon. Therefore, it would take 6 triangles to completely fill a hexagon.


Why did Euclid use circles to create his equilateral triangles?

Euclid used circles to create equilateral triangles because circles provide a precise and consistent method for constructing equal lengths. By drawing a circle with a radius equal to the desired side length of the triangle, he could easily mark off points that are equidistant from a central point, ensuring that all sides of the triangle are equal. This geometric approach allowed for clear visual representation and logical reasoning in his proofs, aligning with his systematic method of establishing mathematical principles.


Explain why any triangle can be divided into congruent triangles in infinitely many ways?

Any triangle can be divided into congruent triangles in infinitely many ways due to the flexibility of triangle geometry and the infinite number of possible points and lines that can be drawn within the triangle. By drawing segments from vertices to points on the opposite sides or by connecting midpoints of sides, one can create various configurations that yield congruent triangles. Additionally, the use of angles, side lengths, and symmetry can further facilitate the creation of congruent divisions. This versatility ensures that there are limitless ways to achieve such partitions.