# 10 17 26 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 17   c = 26

Area: T = 45.5733429759
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 11.90106106561° = 11°54'2″ = 0.20877048389 rad
Angle ∠ B = β = 20.52218674° = 20°31'19″ = 0.35881741548 rad
Angle ∠ C = γ = 147.5787521944° = 147°34'39″ = 2.57657136599 rad

Height: ha = 9.11546859518
Height: hb = 5.36215799716
Height: hc = 3.5065648443

Median: ma = 21.38992496362
Median: mb = 17.76993556439
Median: mc = 5.05497524692

Inradius: r = 1.72197520664
Circumradius: R = 24.24765841575

Vertex coordinates: A[26; 0] B[0; 0] C[9.36553846154; 3.5065648443]
Centroid: CG[11.78884615385; 1.1698549481]
Coordinates of the circumscribed circle: U[13; -20.46769695683]
Coordinates of the inscribed circle: I[9.5; 1.72197520664]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.0999389344° = 168°5'58″ = 0.20877048389 rad
∠ B' = β' = 159.47881326° = 159°28'41″ = 0.35881741548 rad
∠ C' = γ' = 32.42224780561° = 32°25'21″ = 2.57657136599 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.