# 8 10 11 triangle

### Acute scalene triangle.

Sides: a = 8   b = 10   c = 11

Area: T = 38.52883986171
Perimeter: p = 29
Semiperimeter: s = 14.5

Angle ∠ A = α = 44.46884446032° = 44°28'6″ = 0.77661207716 rad
Angle ∠ B = β = 61.12114535039° = 61°7'17″ = 1.06767706072 rad
Angle ∠ C = γ = 74.41101018929° = 74°24'36″ = 1.29987012748 rad

Height: ha = 9.63220996543
Height: hb = 7.70656797234
Height: hc = 7.00551633849

Median: ma = 9.72111110476
Median: mb = 8.21658383626
Median: mc = 7.1943747285

Inradius: r = 2.65771309391
Circumradius: R = 5.7110073813

Vertex coordinates: A[11; 0] B[0; 0] C[3.86436363636; 7.00551633849]
Centroid: CG[4.95545454545; 2.33550544616]
Coordinates of the circumscribed circle: U[5.5; 1.53545823372]
Coordinates of the inscribed circle: I[4.5; 2.65771309391]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.5321555397° = 135°31'54″ = 0.77661207716 rad
∠ B' = β' = 118.8798546496° = 118°52'43″ = 1.06767706072 rad
∠ C' = γ' = 105.5989898107° = 105°35'24″ = 1.29987012748 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.