# 5 10 11 triangle

### Acute scalene triangle.

Sides: a = 5   b = 10   c = 11

Area: T = 24.98799919936
Perimeter: p = 26
Semiperimeter: s = 13

Angle ∠ A = α = 27.01222939589° = 27°44″ = 0.47114534681 rad
Angle ∠ B = β = 65.28801488171° = 65°16'49″ = 1.13993535331 rad
Angle ∠ C = γ = 87.7087557224° = 87°42'27″ = 1.53107856524 rad

Height: ha = 9.99219967974
Height: hb = 4.99659983987
Height: hc = 4.54218167261

Median: ma = 10.21102889283
Median: mb = 6.92882032303
Median: mc = 5.67989083458

Inradius: r = 1.92215378457
Circumradius: R = 5.5044405287

Vertex coordinates: A[11; 0] B[0; 0] C[2.09109090909; 4.54218167261]
Centroid: CG[4.36436363636; 1.51439389087]
Coordinates of the circumscribed circle: U[5.5; 0.22201762115]
Coordinates of the inscribed circle: I[3; 1.92215378457]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9887706041° = 152°59'16″ = 0.47114534681 rad
∠ B' = β' = 114.7219851183° = 114°43'11″ = 1.13993535331 rad
∠ C' = γ' = 92.2922442776° = 92°17'33″ = 1.53107856524 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.