# 9 10 11 triangle

### Acute scalene triangle.

Sides: a = 9   b = 10   c = 11

Area: T = 42.42664068712
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 50.47988036414° = 50°28'44″ = 0.8811021326 rad
Angle ∠ B = β = 58.99224169931° = 58°59'33″ = 1.03296119102 rad
Angle ∠ C = γ = 70.52987793655° = 70°31'44″ = 1.23109594173 rad

Height: ha = 9.42880904158
Height: hb = 8.48552813742
Height: hc = 7.71438921584

Median: ma = 9.5
Median: mb = 8.71877978871
Median: mc = 7.76220873481

Inradius: r = 2.82884271247
Circumradius: R = 5.83436309448

Vertex coordinates: A[11; 0] B[0; 0] C[4.63663636364; 7.71438921584]
Centroid: CG[5.21221212121; 2.57112973861]
Coordinates of the circumscribed circle: U[5.5; 1.94545436483]
Coordinates of the inscribed circle: I[5; 2.82884271247]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.5211196359° = 129°31'16″ = 0.8811021326 rad
∠ B' = β' = 121.0087583007° = 121°27″ = 1.03296119102 rad
∠ C' = γ' = 109.4711220634° = 109°28'16″ = 1.23109594173 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.