# 15 26 29 triangle

### Acute scalene triangle.

Sides: a = 15   b = 26   c = 29

Area: T = 194.4222220952
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 31.04548445349° = 31°2'41″ = 0.54218347529 rad
Angle ∠ B = β = 63.36768812508° = 63°22'1″ = 1.10659607145 rad
Angle ∠ C = γ = 85.58882742142° = 85°35'18″ = 1.49437971861 rad

Height: ha = 25.92329627936
Height: hb = 14.95655554579
Height: hc = 13.40884290312

Median: ma = 26.5
Median: mb = 19.07987840283
Median: mc = 15.5

Inradius: r = 5.55549205986
Circumradius: R = 14.54330907339

Vertex coordinates: A[29; 0] B[0; 0] C[6.7244137931; 13.40884290312]
Centroid: CG[11.9088045977; 4.46994763437]
Coordinates of the circumscribed circle: U[14.5; 1.11986992872]
Coordinates of the inscribed circle: I[9; 5.55549205986]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.9555155465° = 148°57'19″ = 0.54218347529 rad
∠ B' = β' = 116.6333118749° = 116°37'59″ = 1.10659607145 rad
∠ C' = γ' = 94.41217257858° = 94°24'42″ = 1.49437971861 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.