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What is the radius of the circumcircle of a triangle with sides of 4cm by 5cm by 6cm?
Using the cosine rule the biggest angle is: 82.81924422 degrees Using radius formula for circumcircle of a triangle the radius is: 3.023715784 cm
The circle's center must be placed at the incenter of the triangle?
No, there are two circles (incircle, circumcircle) associated with triangles and in general the locations of their centres are different.
What is the center of a circumscribed cirlce of a triangle called?
It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle
Words starting with circum?
Circumference, circumcircle
In Jade and yard there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jade plant the geranium?
Not enough information has been given but Jade could circumcircle the triangle ensuring that the center of the circle is equidistance from each of the triangle's vertices.
2 The intersection point of concurrency of the three perpendicular bisectors is called the?
Circumcenter. The circumcenter of a triangle is the center of the circumcircle of the triangle. It is the point, O, at which the perpendiculars bisectors of the sides of a triangle are concurrent. The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter.
Is it possible to construct a triangle whose base and the vertical angle are known Either or without using a Circum Circle?
No.The information given is not enough to uniquely identify a triangle. Any point on the appropriate arc of the circumcircle will satisfy the requirements of the triangle.No.The information given is not enough to uniquely identify a triangle. Any point on the appropriate arc of the circumcircle will satisfy the requirements of the triangle.No.The information given is not enough to uniquely identify a triangle. Any point on the appropriate arc of the circumcircle will satisfy the requirements of the triangle.No.The information given is not enough to uniquely identify a triangle. Any point on the appropriate arc of the circumcircle will satisfy the requirements of the triangle.
What is the radius of the circumcircle of a triangle with sides of 4cm by 5cm by 6cm?
Using the cosine rule the biggest angle is: 82.81924422 degrees Using radius formula for circumcircle of a triangle the radius is: 3.023715784 cm
What is the definition of circumcenter?
The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.
What are some characteristic of a equalateral triangle?
These are some characteristics of equilateral triangle:All the sides of an equilateral triangle are equalIn an equilateral triangle each angle is angle is 60 degree.With an equilateral triangle, the radius of the incircle is exactly half the radius of the circumcircle.
The circle's center must be placed at the incenter of the triangle?
No, there are two circles (incircle, circumcircle) associated with triangles and in general the locations of their centres are different.
What is the center of a circumscribed cirlce of a triangle called?
It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle
Prove that the tangent at a to the circumcircle of triangle abc is parallel to bc where triangle abc is a isosceles triangle?
The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter, which is the point O, at which the perpendicular bisectors of the sides of the triangle are concurrent. Since our triangle ABC is an isosceles triangle, the perpendicular line to the base BC of the triangle passes through the vertex A, so that OA (the part of the bisector perpendicular line to BC) is a radius of the circle O. Since the tangent line at A is perpendicular to the radius OA, and the extension of OA is perpendicular to BC, then the given tangent line must be parallel to BC (because two or more lines are parallel if they are perpendicular to the same line).
Words starting with circum?
Circumference, circumcircle
The circle surrounding apolygon?
It is a circumcircle or circumscribing circle.
In Jade and yard there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jade plant the geranium?
Not enough information has been given but Jade could circumcircle the triangle ensuring that the center of the circle is equidistance from each of the triangle's vertices.
What is the area of a triangle with angles of 50 60 and 70 degres when the radius of its circumcircle is 10cm?
From the given information and transposing the relevant formulae its area works out as 200*sin(50)*sin(60)*sin(70) = 124.6810383 or about 125 square cm
