# 8 10 12 triangle

### Acute scalene triangle.

Sides: a = 8   b = 10   c = 12

Area: T = 39.6866269666
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 41.41096221093° = 41°24'35″ = 0.72327342478 rad
Angle ∠ B = β = 55.77111336722° = 55°46'16″ = 0.97333899101 rad
Angle ∠ C = γ = 82.81992442185° = 82°49'9″ = 1.44554684956 rad

Height: ha = 9.92215674165
Height: hb = 7.93772539332
Height: hc = 6.61443782777

Median: ma = 10.2965630141
Median: mb = 8.88881944173
Median: mc = 6.78223299831

Inradius: r = 2.64657513111
Circumradius: R = 6.04774315681

Vertex coordinates: A[12; 0] B[0; 0] C[4.5; 6.61443782777]
Centroid: CG[5.5; 2.20547927592]
Coordinates of the circumscribed circle: U[6; 0.7565928946]
Coordinates of the inscribed circle: I[5; 2.64657513111]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.5990377891° = 138°35'25″ = 0.72327342478 rad
∠ B' = β' = 124.2298866328° = 124°13'44″ = 0.97333899101 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.