# 15 23 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 23   c = 29

Area: T = 171.1233310802
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 30.87114335686° = 30°52'17″ = 0.53988081606 rad
Angle ∠ B = β = 51.88550359596° = 51°53'6″ = 0.906556471 rad
Angle ∠ C = γ = 97.24435304718° = 97°14'37″ = 1.6977219783 rad

Height: ha = 22.81664414403
Height: hb = 14.88802878959
Height: hc = 11.80216076415

Median: ma = 25.07548878362
Median: mb = 20.01987412192
Median: mc = 12.91331715701

Inradius: r = 5.10881585314
Circumradius: R = 14.61766526832

Vertex coordinates: A[29; 0] B[0; 0] C[9.25986206897; 11.80216076415]
Centroid: CG[12.75328735632; 3.93438692138]
Coordinates of the circumscribed circle: U[14.5; -1.84329692514]
Coordinates of the inscribed circle: I[10.5; 5.10881585314]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.1298566431° = 149°7'43″ = 0.53988081606 rad
∠ B' = β' = 128.115496404° = 128°6'54″ = 0.906556471 rad
∠ C' = γ' = 82.75664695282° = 82°45'23″ = 1.6977219783 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.