# 14 15 22 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 15   c = 22

Area: T = 103.812202965
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 38.98884573105° = 38°59'18″ = 0.68804769503 rad
Angle ∠ B = β = 42.38546161308° = 42°23'5″ = 0.74397511037 rad
Angle ∠ C = γ = 98.62769265587° = 98°37'37″ = 1.72113645996 rad

Height: ha = 14.833028995
Height: hb = 13.84216039533
Height: hc = 9.43774572409

Median: ma = 17.47985582929
Median: mb = 16.84548805279
Median: mc = 9.46604439642

Inradius: r = 4.07110599863
Circumradius: R = 11.12658782233

Vertex coordinates: A[22; 0] B[0; 0] C[10.34109090909; 9.43774572409]
Centroid: CG[10.78803030303; 3.14658190803]
Coordinates of the circumscribed circle: U[11; -1.66988817335]
Coordinates of the inscribed circle: I[10.5; 4.07110599863]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.0121542689° = 141°42″ = 0.68804769503 rad
∠ B' = β' = 137.6155383869° = 137°36'55″ = 0.74397511037 rad
∠ C' = γ' = 81.37330734413° = 81°22'23″ = 1.72113645996 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.