# 7 10 13 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 10   c = 13

Area: T = 34.64110161514
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 32.2044227504° = 32°12'15″ = 0.5622069803 rad
Angle ∠ B = β = 49.58325617943° = 49°34'57″ = 0.86553789549 rad
Angle ∠ C = γ = 98.21332107017° = 98°12'48″ = 1.71441438957 rad

Height: ha = 9.89774331861
Height: hb = 6.92882032303
Height: hc = 5.32993871002

Median: ma = 11.05766721937
Median: mb = 9.16551513899
Median: mc = 5.67989083458

Inradius: r = 2.30994010768
Circumradius: R = 6.5677359312

Vertex coordinates: A[13; 0] B[0; 0] C[4.53884615385; 5.32993871002]
Centroid: CG[5.84661538462; 1.77664623667]
Coordinates of the circumscribed circle: U[6.5; -0.93881941874]
Coordinates of the inscribed circle: I[5; 2.30994010768]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.7965772496° = 147°47'45″ = 0.5622069803 rad
∠ B' = β' = 130.4177438206° = 130°25'3″ = 0.86553789549 rad
∠ C' = γ' = 81.78767892983° = 81°47'12″ = 1.71441438957 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.