Help meee find the radius
Find the circumradius of triangle ABC. Find the inradius of triangle ABC.
3 4 5
5 12 13
4 5 6
8 8 8
19 19 40
3 3 4
13 14 15
1 2 3
23 40 55
6 8 10
19 20 21
11 Triangles !!!!!!!!!!!
I will do the first and you do the rest. Submit 1 question at a time.
3, 4, 5
Right scalene Pythagorean triangle.
Sides: a = 3 b = 4 c = 5
Area: T = 6
Perimeter: p = 12
Semiperimeter: s = 6
Inradius
An incircle of a triangle is a tangent circle to each side. An incircle center is called an incenter and has a radius named inradius. All triangles have an incenter, and it always lies inside the triangle. The incenter is the intersection of the three-angle bisectors. The product of the inradius and semiperimeter (half the perimeter) of a triangle is its area.
T=rs, Where T==area, r==inradius, s==semi-perimeter.
r=T / s
r = 6 / 6 ==1
Circumradius
The circumcircle of a triangle is a circle that passes through all of the triangle's vertices, and the circumradius of a triangle is the radius of the triangle's circumcircle. The circumcenter (center of the circumcircle) is the point where the perpendicular bisectors of a triangle intersect.
R==(abc) / (4rs)
R ==(3.4.5) / (4.1.6) ==2.5
