# 17 26 29 triangle

### Acute scalene triangle.

Sides: a = 17   b = 26   c = 29

Area: T = 218.8154990346
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 35.47994634727° = 35°28'46″ = 0.61992334544 rad
Angle ∠ B = β = 62.58440932158° = 62°35'3″ = 1.0922298486 rad
Angle ∠ C = γ = 81.93664433115° = 81°56'11″ = 1.43300607132 rad

Height: ha = 25.74329400407
Height: hb = 16.83219223343
Height: hc = 15.09106889894

Median: ma = 26.19663737949
Median: mb = 19.98997487421
Median: mc = 16.5

Inradius: r = 6.07881941763
Circumradius: R = 14.64547919082

Vertex coordinates: A[29; 0] B[0; 0] C[7.82875862069; 15.09106889894]
Centroid: CG[12.2765862069; 5.03302296631]
Coordinates of the circumscribed circle: U[14.5; 2.05442468287]
Coordinates of the inscribed circle: I[10; 6.07881941763]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.5210536527° = 144°31'14″ = 0.61992334544 rad
∠ B' = β' = 117.4165906784° = 117°24'57″ = 1.0922298486 rad
∠ C' = γ' = 98.06435566885° = 98°3'49″ = 1.43300607132 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.