# 10 22 23 triangle

### Acute scalene triangle.

Sides: a = 10   b = 22   c = 23

Area: T = 109.1377241581
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 25.55546937848° = 25°33'17″ = 0.44660135459 rad
Angle ∠ B = β = 71.62660619967° = 71°37'34″ = 1.25501106121 rad
Angle ∠ C = γ = 82.81992442185° = 82°49'9″ = 1.44554684956 rad

Height: ha = 21.82774483163
Height: hb = 9.92215674165
Height: hc = 9.49901949201

Median: ma = 21.94331082575
Median: mb = 13.91104277432
Median: mc = 12.63992246598

Inradius: r = 3.96986269666
Circumradius: R = 11.59109105056

Vertex coordinates: A[23; 0] B[0; 0] C[3.1522173913; 9.49901949201]
Centroid: CG[8.71773913043; 3.16333983067]
Coordinates of the circumscribed circle: U[11.5; 1.44988638132]
Coordinates of the inscribed circle: I[5.5; 3.96986269666]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.4455306215° = 154°26'43″ = 0.44660135459 rad
∠ B' = β' = 108.3743938003° = 108°22'26″ = 1.25501106121 rad
∠ C' = γ' = 97.18107557815° = 97°10'51″ = 1.44554684956 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.