# 15 27 29 triangle

### Acute scalene triangle.

Sides: a = 15   b = 27   c = 29

Area: T = 200.5219793287
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 30.80993733352° = 30°48'34″ = 0.53877250052 rad
Angle ∠ B = β = 67.21098982792° = 67°12'36″ = 1.17330340149 rad
Angle ∠ C = γ = 81.98107283856° = 81°58'51″ = 1.43108336335 rad

Height: ha = 26.73659724383
Height: hb = 14.85333180213
Height: hc = 13.82989512612

Median: ma = 26.99553699734
Median: mb = 18.72883208003
Median: mc = 16.33224829711

Inradius: r = 5.64884448813
Circumradius: R = 14.64331928333

Vertex coordinates: A[29; 0] B[0; 0] C[5.81103448276; 13.82989512612]
Centroid: CG[11.60334482759; 4.61096504204]
Coordinates of the circumscribed circle: U[14.5; 2.04328157903]
Coordinates of the inscribed circle: I[8.5; 5.64884448813]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.1910626665° = 149°11'26″ = 0.53877250052 rad
∠ B' = β' = 112.7990101721° = 112°47'24″ = 1.17330340149 rad
∠ C' = γ' = 98.01992716144° = 98°1'9″ = 1.43108336335 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.