# 10 24 28 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 24   c = 28

Area: T = 116.9233051619
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 20.36441348063° = 20°21'51″ = 0.35554212017 rad
Angle ∠ B = β = 56.63329870308° = 56°37'59″ = 0.98884320889 rad
Angle ∠ C = γ = 103.0032878163° = 103°10″ = 1.7987739363 rad

Height: ha = 23.38546103239
Height: hb = 9.7443587635
Height: hc = 8.35216465442

Median: ma = 25.59329677841
Median: mb = 17.26326765016
Median: mc = 11.91663752878

Inradius: r = 3.77217113426
Circumradius: R = 14.36884241621

Vertex coordinates: A[28; 0] B[0; 0] C[5.5; 8.35216465442]
Centroid: CG[11.16766666667; 2.78438821814]
Coordinates of the circumscribed circle: U[14; -3.23328954365]
Coordinates of the inscribed circle: I[7; 3.77217113426]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.6365865194° = 159°38'9″ = 0.35554212017 rad
∠ B' = β' = 123.3677012969° = 123°22'1″ = 0.98884320889 rad
∠ C' = γ' = 76.99771218371° = 76°59'50″ = 1.7987739363 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.