# 11 20 24 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 20   c = 24

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

Angle ∠ A = α = 27.04881105464° = 27°2'53″ = 0.47220785855 rad
Angle ∠ B = β = 55.77111336722° = 55°46'16″ = 0.97333899101 rad
Angle ∠ C = γ = 97.18107557815° = 97°10'51″ = 1.6966124158 rad

Height: ha = 19.8433134833
Height: hb = 10.91437241581
Height: hc = 9.09547701318

Median: ma = 21.39550928953
Median: mb = 15.76438827704
Median: mc = 10.79435165725

Inradius: r = 3.96986269666
Circumradius: R = 12.09548631363

Vertex coordinates: A[24; 0] B[0; 0] C[6.18875; 9.09547701318]
Centroid: CG[10.06325; 3.03215900439]
Coordinates of the circumscribed circle: U[12; -1.5121857892]
Coordinates of the inscribed circle: I[7.5; 3.96986269666]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9521889454° = 152°57'7″ = 0.47220785855 rad
∠ B' = β' = 124.2298866328° = 124°13'44″ = 0.97333899101 rad
∠ C' = γ' = 82.81992442185° = 82°49'9″ = 1.6966124158 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.