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How can it be proved that the circumradius of a triangle is the product of three sides divided by four times the area of the triangle?
We know that R = a/2sinA area of triangle = 1/2 bc sinA sin A = 2(area of triangle)/bc R = (a/2)*2(area of triangle)/bc R = abc/4*(area of triangle)
Parameter of rectangle equal parameter of triangle?
I hope you want to know the Perimeter. Perimeter is the total length of the boundary of the region bounded by a shape. For a rectangle it is the sum of the 4 bounding sides, or 2*(L+B), where L is Length of the rectangle and B is Breadth of the rectangle. For a Triangle it is the sum of the 3 sides. If you consider an equilateral triangle. By property the 3 sides of an equilateral triangle are equal. Hence the Perimeter of an equilateral triangle is denoted as; 3*a, where a is the length of one of the sides of the triangle. It is possible that the perimeter of a rectangle is same as that of many different types of triangles. We can formulate a relationship for a special case where the perimeter of a rectangle is equal to the perimeter of an equilateral triangle; P(R) = P(ET), P(R) is perimeter of rectangle and P(EQ) is perimeter of Equilateral triangle. P(R)=2(L*B) = P(EQ) = 3*a; hence, a = (2/3)*(L*B) = P(R)/3. i.e., the sides of the Equilateral triangle are one thirds of the perimeter of the rectangle.
What shape has 3 sides and the second letter is r?
Triangle !
How do you find the distance from the vertices to the circumcenter?
To find the distance from a vertex of a triangle to the circumcenter, you can use the circumradius formula. The circumradius ( R ) is given by ( R = \frac{abc}{4K} ), where ( a, b, c ) are the lengths of the triangle's sides, and ( K ) is the area of the triangle. The distance from each vertex to the circumcenter is equal to the circumradius ( R ). Thus, you can calculate ( R ) using the sides and area of the triangle to determine the distance.
What is the circumference of the circle that circumscribes a triangle with side lengths 3 4 and 5?
To find the circumference of the circumcircle of a triangle, we first need to determine the radius of the circumcircle. For a right triangle, the circumradius ( R ) can be calculated using the formula ( R = \frac{c}{2} ), where ( c ) is the length of the hypotenuse. In this triangle with sides 3, 4, and 5, the hypotenuse is 5, so ( R = \frac{5}{2} = 2.5 ). The circumference ( C ) of the circumcircle is given by ( C = 2\pi R = 2\pi \times 2.5 = 5\pi ).
How can it be proved that the circumradius of a triangle is the product of three sides divided by four times the area of the triangle?
We know that R = a/2sinA area of triangle = 1/2 bc sinA sin A = 2(area of triangle)/bc R = (a/2)*2(area of triangle)/bc R = abc/4*(area of triangle)
Parameter of rectangle equal parameter of triangle?
I hope you want to know the Perimeter. Perimeter is the total length of the boundary of the region bounded by a shape. For a rectangle it is the sum of the 4 bounding sides, or 2*(L+B), where L is Length of the rectangle and B is Breadth of the rectangle. For a Triangle it is the sum of the 3 sides. If you consider an equilateral triangle. By property the 3 sides of an equilateral triangle are equal. Hence the Perimeter of an equilateral triangle is denoted as; 3*a, where a is the length of one of the sides of the triangle. It is possible that the perimeter of a rectangle is same as that of many different types of triangles. We can formulate a relationship for a special case where the perimeter of a rectangle is equal to the perimeter of an equilateral triangle; P(R) = P(ET), P(R) is perimeter of rectangle and P(EQ) is perimeter of Equilateral triangle. P(R)=2(L*B) = P(EQ) = 3*a; hence, a = (2/3)*(L*B) = P(R)/3. i.e., the sides of the Equilateral triangle are one thirds of the perimeter of the rectangle.
What is the name of a shape with 3 sides?
A TRIANGLE!!! DUHH! SOME PEOPLE R DUMBOS A triangle, three sides, three angles.
What shape has 3 sides and the second letter is r?
Triangle !
What are the characteristics of an equilateral triangle?
all the sides r the same length
How do you find the distance from the vertices to the circumcenter?
To find the distance from a vertex of a triangle to the circumcenter, you can use the circumradius formula. The circumradius ( R ) is given by ( R = \frac{abc}{4K} ), where ( a, b, c ) are the lengths of the triangle's sides, and ( K ) is the area of the triangle. The distance from each vertex to the circumcenter is equal to the circumradius ( R ). Thus, you can calculate ( R ) using the sides and area of the triangle to determine the distance.
What is the circumference of the circle that circumscribes a triangle with side lengths 3 4 and 5?
To find the circumference of the circumcircle of a triangle, we first need to determine the radius of the circumcircle. For a right triangle, the circumradius ( R ) can be calculated using the formula ( R = \frac{c}{2} ), where ( c ) is the length of the hypotenuse. In this triangle with sides 3, 4, and 5, the hypotenuse is 5, so ( R = \frac{5}{2} = 2.5 ). The circumference ( C ) of the circumcircle is given by ( C = 2\pi R = 2\pi \times 2.5 = 5\pi ).
Write a program to calculate area of triangle and check whether entered sides can make triangle or not..?
#include <stdio.h> main() { int r,b,h; printf("Enter the value of Base and Hight"); scanf("%d%d",&b,&h); r = ((b*h)/2); printf("Area of Triangle=%d",r); }
What is a trig function?
sin theta and csc theta are reciprocal functions because sin = y/r and csc = r/y you use the same 2 sides of a triangle, but you use the reciprocal.
What is the difference between parallelogram law of vector addition n triangle law of vector addition?
There is basically no difference. They are nothing more than 2 different visualizations of how we can graphically add two vectors.strictly if we say there is one and only difference is that---Triangle law of vector addition states that when 2 vectors r acting as the adjacent sides of a triangle taken in order. third side of the triangle will give the magnitude of th resultant 7 direction is in opposite order.Parallelogram law of vector addition states that if 2 vectors r acting as the adjacent sides of a parallelogram, then the diagonal of parallelogram from the point of intersection of two vectors represent their resultant magnitude & direction.
How much does a scalene triangle measure?
It can measure anything as long as the sides are all of different length and no angles are equal and the triangle has no lines of symmetry. If u r a member plz leave a note on my message board. Smiley bubble xxx
What are the dimensions of an isosceles triangle of least area that can be circumscribed about a circle of radius r?
The isosceles triangle of least area that can be circumscribed about a circle of radius r turns out to be not just isosceles, but also equilateral. Each side has length 2r x ( 3 )0.5 . The area is r2 x (27)0.5 . Thanks are due to litotes for pointing out that the original answer did not actually answer the question ! tpm Since the equilateral triangle is also an isosceles triangle, we can say that at least area that can be circumscribed to a circle is the area of an equilateral triangle.If we are talking only for isosceles triangle where base has different length than two congruent sides, we can say that at least area circumscribed to a circle with radius r, is the area of an isosceles triangle whose base angles are very close to 60 degrees. Solution: Let say that the isosceles triangle ABC is circumscribed to a circle with radius r, where BA = BC. We know that the center of the circle inscribed to a triangle is the point of the intersection of the three angle bisectors of the triangle. Let draw these angle bisectors, and denote with D the point where the bisector drawn from the vertex, B, of the triangle, intersects the base AC. Since the triangle is an isosceles triangle, then BD bisects the base and it is perpendicular to the base. So that AD = DC, OD = r, and the triangles ADB and AOD are right triangles (O is the center of the circle). In the triangle ADB, we have:tan A = BD/AD, so that AD = BD/tan A In the triangle AOD, we have:tan A/2 = OD/AD, so that AD = r/tan A/2, and AC = 2r/tan A/2 Therefore,BD/tan A = r/tan A/2, andBD = (r tan A)/tan A/2 Area of triangle ABC = (1/2)(AC)(BD) = (1/2)(2r/ tan A/2)[(r tan A)/tan A/2] = (r2 tan A)/tan2 A/2 After we try different acute angles measure, we see that the smallest area would be: If the angle A= 60⁰,then the Area of the triangle ABC = r2 tan 60⁰/tan2 30⁰ ≈ 5.1961r2 If the angle A= 59.8⁰,then the Area of the triangle ABC = (r2 tan 59.8⁰)/tan2 29.9⁰ ≈ 5.1962r2
