# 11 27 29 triangle

### Acute scalene triangle.

Sides: a = 11   b = 27   c = 29

Area: T = 148.4832953567
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 22.28882741758° = 22°17'18″ = 0.3899003769 rad
Angle ∠ B = β = 68.58798769145° = 68°34'48″ = 1.19769446528 rad
Angle ∠ C = γ = 89.13218489098° = 89°7'55″ = 1.55656442319 rad

Height: ha = 26.99769006486
Height: hb = 10.99987373013
Height: hc = 10.24402036943

Median: ma = 27.47327137356
Median: mb = 17.28443860174
Median: mc = 14.65443508898

Inradius: r = 4.43223269722
Circumradius: R = 14.50216646576

Vertex coordinates: A[29; 0] B[0; 0] C[4.01772413793; 10.24402036943]
Centroid: CG[11.00657471264; 3.41334012314]
Coordinates of the circumscribed circle: U[14.5; 0.22197221918]
Coordinates of the inscribed circle: I[6.5; 4.43223269722]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.7121725824° = 157°42'42″ = 0.3899003769 rad
∠ B' = β' = 111.4220123086° = 111°25'12″ = 1.19769446528 rad
∠ C' = γ' = 90.86881510902° = 90°52'5″ = 1.55656442319 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.