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Radius formula of inscribed circle and circumscribed circle How to find the radius of the inscribed circle? For example: in the RT triangle ABC, if the lengths of two right angles are 5cm and 12cm respectively, then the circumscribed circle radius of the right triangle is______ The radius of inscribed circle is_______ . It seems to have something to do with the sine theorem
a/sinA=2R
(R is the radius of the circumscribed circle)
r=(a+b-c)/2
R is the radius of the inscribed circle of a right triangle
If the two right sides of a right triangle are 3 and 4, then the radius of its circumcircle is and the radius of its inscribed circle is
The radius of the inscribed circle is 1 and the radius of the circumscribed circle is 2.5
How to find the radius of circumcircle of a right triangle (3,4,5)?
The circumcircle diameter of a right triangle is the hypotenuse of the triangle, and the radius is half of the diameter
How to find the height on the hypotenuse of a right triangle?
Equal to the root sign (the sum of the squares of two hypotenuses)
RELATED INFORMATIONS
- 1. What is the nature of the height on the hypotenuse of a right triangle All in all, I am a junior high school student. So I need junior high school knowledge
- 2. It is proved that the sum of the two right sides of a right triangle is equal to the sum of the hypotenuse and the diameter of the inscribed circle
- 3. If the two right sides of a right triangle are 5 and 12, then the circumcircle radius of the right triangle is------------- And the radius of the inscribed circle-------
- 4. If the two right sides of a right triangle are 5, 12, what is the radius of the inscribed circle of a right triangle
- 5. Given a right triangle, its circumscribed circle radius = 6, inscribed circle radius = 2, find the perimeter of the triangle
- 6. If the length of the hypotenuse of a right triangle is 10 cm and the radius of its inscribed circle is 2 cm, then its perimeter is?
- 7. The following is a right triangle, with ab as the axis to rotate around it for a circle, get a three-dimensional figure, its volume is how many cubic centimeters?
- 8. The length of the two right sides of a right triangle is 3cm and 4cm respectively. If the right triangle is rotated around the hypotenuse, the volume of the rotating body is
- 9. As shown in the figure BD = 2cm, AC = 20cm, rotate triangle ABC around AC axis to get a figure, and calculate the volume of the figure
- 10. In RT △ ABC, AC = 3cm, BC = 4cm, ab = 5cm, take the line segment of the three sides as the axis of rotation respectively, and get the relationship of the three geometric bodies after one revolution?
- 11. The reasoning process of calculating the radius of inscribed circle and circumscribed circle of triangle RT
- 12. Given that point O is the center of circumscribed circle of triangle ABC, tangent AC length is 4, AB length is 2, then vector AO * vector BC =?
- 13. A triangle is a point that is equidistant from each vertex of the triangle______ The intersection of the two
- 14. There is a point P in the equilateral △ ABC. The distance from it to the three vertices a, B and C is 1, root 2 and root 3 respectively. Find the degree of ∠ ABC
- 15. The lengths of three sides of △ ABC are 3, 4 and 5 respectively. Point P is the point on its inscribed circle. Find the maximum and minimum of the sum of the areas of three circles with diameters PA, Pb and PC
- 16. If the generatrix length of the cone is l and the bottom radius is L / 2, the area of the largest section passing through the apex of the cone is
- 17. Let l be the length and l be the height of the generatrix of the cone, and let two generatrix passing through the cone make a section to get the maximum area of the section
- 18. If the area of the axis section of a cone whose generatrix length is 4 is 8, the height of the cone is obtained
- 19. It is known that both the generatrix length and the bottom diameter of a cone are equal to 2. If a circle is cut out from its side view, the maximum area of the circle is? Such as the title
- 20. Given that the height of a cone is 6cm and the radius of the bottom circle is 8cm, what is the generatrix length of the cone?