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How many triangles can be made in an octagon by drawing all the diagonals from one vertex?
You Can Get 6 triangles
Can six identical triangles can be formed by drawing two straight lines through an octagon's center point?
No.
The perimeter of the square is 16 inches what is the circumference?
The perimeter of a plane figure is the length of its boundary. Thus the perimeter of a square of length L is 4L. So the perimeter of a square of length 4 is 4 x 4 = 16 (4 + 4 + 4 + 4 = 16). The perimeter of a circle is the length of its circumference.If you are asking for the circumference of the circle circumscribed and inscribed in this square, their circumference will be:First, we need to find the measure length of their radius. We know that the diagonals of the square form 4 congruent isosceles triangles with the base length equal to the length of the square, and length side equal one half of the diagonal length ( the diagonals of a square are equal in length and bisect each other (and bisect also the angle of the square ), so the center of the circumscribed circle of the square will be the point of their intersection, and its radius will be the one half of the diagonal of the square). We can find the diagonal length by using the Pythagorean theorem. So from the right trianglewhich is formed by drawing one of the diagonals, we find the length of the diagonal which is also the hypotenuse of this right triangle, and which is equal to square root of[2(4^2)]. So the length of the diagonal is equal 4(square root of 2), and its half is 2(square root of 2), which is the length of the radius of the circumscribed circle. So its circumference is equal to (2)(pi)(2(square root of 2)) = 4(square root of 2)pi.Now, we need to know what is the length of the radius of the inscribed circle, and what is this radius. Let's look at the one of the fourth triangles that are formed by drawing the two diagonals of the square. If we draw the perpendicular from the intersection of the diagonals to the side of the square, this perpendicular is the median of the side of the square and also the altitude of this isosceles triangle. Let's find the measure of its length. Again we can use the Pythagorean theorem. So this measure is equal to the square root of [(2(square root of 2))^2] - 2^2] which is equal to 2. If we extend this perpendicular to the side of the triangle and draw another perpendicular from the point of the intersection of the diagonals to the other sides of the square, their length will be also 2. Since they have the same distance from the point of the intersection of the diagonals, we can say that their length is the length of the radius of the inscribed circle, and the point of the intersection of the diagonals is also its center. So the measure of length of the radius is 2, and the circumference of the inscribed circle is (2)(pi)(r) = (2)(pi)(2) = 4pi.As a result, we can say that the point of the intersection of the diagonals of a square is the center of its inscribed and circumscribed circle, and the perpendicular lines drawing from this point to the sides of the square bisect each other. (These perpendiculars are parallel and equal in length to the square length, because we know that two lines that are perpendicular respectively to the other two parallel lines, are equal in length and parallel between them). We also can say that in an isosceles triangle with 45 degrees base angle, the median is not only also an altitude, but its length is one half of the length of the base.
What is the measure of arc JL?
The answer depends on information shown in the drawing. No answer is possible, since the drawing is not visible from here.
Marco is making a scale drawing of a building The scale for the drawing is 1 inch equals 7 feet The height of the building in the drawing is 1 foot Determine the height of the actual building?
1 foot = 12 inches 12*7 = 84 Answer: 84 feet
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 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
A hexagon can be divided into how many triangles by drawing diagonals from one vertex?
4
A heptagon can be divided into how many different triangles by drawing all of the diagonals from one vertex?
5 triangles.
How do you prove the pentagram angles inside a scalene pentagon equl 180?
To prove that the sum of the angles formed by the intersection of the diagonals within a scalene pentagon equals 180 degrees, you can use the fact that any polygon can be divided into triangles. In a pentagon, there are five sides, and thus it can be divided into three triangles by drawing diagonals. The interior angles of these triangles sum to 540 degrees, and since the angles at the vertices of the pentagon contribute to this sum, the angles formed by the intersection of the diagonals can be shown to sum to 180 degrees by subtracting the angles at the vertices from 540 degrees and considering the properties of linear pairs.
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 formed in drawing diagonals in a square?
6
How many triangles can be made in an octagon by drawing all the diagonals from one vertex?
You Can Get 6 triangles
How many distinct triangles can you form by drawing only the diagonals in a rectangle?
In a rectangle, the diagonals divide it into four triangles. Each diagonal connects two opposite corners, creating two triangles for each diagonal. Therefore, by drawing both diagonals, you can form a total of four distinct triangles within the rectangle.
What is the connectionbetween the number of sides of the polygon and the number of triangles into which it may be divided by drawing diagonals from one vertex?
Number of sides minus 2 equals the number of triangles within the polygon.
A heptagon can be divided into how many triangles by drawing all of the diagonals from one vertex?
A heptagon has seven sides, so when drawing diagonals from one vertex, it will create five triangles. This is because each diagonal drawn from a single vertex will create a triangle until it intersects the previous diagonal. Therefore, the number of triangles formed by drawing all diagonals from one vertex in a heptagon is five.
How many triangles on hectagon?
A hexagon can be divided into triangles by drawing diagonals from one vertex to all non-adjacent vertices. This results in a total of ( n - 2 ) triangles, where ( n ) is the number of sides in the polygon. For a hexagon, which has 6 sides, you can create ( 6 - 2 = 4 ) triangles. Thus, a hexagon can be divided into 4 triangles.
