# 5 7 10 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 7   c = 10

Area: T = 16.24880768093
Perimeter: p = 22
Semiperimeter: s = 11

Angle ∠ A = α = 27.66604498993° = 27°39'38″ = 0.48327659233 rad
Angle ∠ B = β = 40.53658021113° = 40°32'9″ = 0.70774832118 rad
Angle ∠ C = γ = 111.8043747989° = 111°48'13″ = 1.95113435185 rad

Height: ha = 6.49992307237
Height: hb = 4.64223076598
Height: hc = 3.25496153619

Median: ma = 8.26113558209
Median: mb = 7.08987234394
Median: mc = 3.46441016151

Inradius: r = 1.47770978918
Circumradius: R = 5.38552527303

Vertex coordinates: A[10; 0] B[0; 0] C[3.8; 3.25496153619]
Centroid: CG[4.6; 1.08332051206]
Coordinates of the circumscribed circle: U[5; -22.0002367284]
Coordinates of the inscribed circle: I[4; 1.47770978918]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.3439550101° = 152°20'22″ = 0.48327659233 rad
∠ B' = β' = 139.4644197889° = 139°27'51″ = 0.70774832118 rad
∠ C' = γ' = 68.19662520106° = 68°11'47″ = 1.95113435185 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.