# 15 25 27 triangle

### Acute scalene triangle.

Sides: a = 15   b = 25   c = 27

Area: T = 185.0443744828
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 33.24989403241° = 33°14'56″ = 0.58803034815 rad
Angle ∠ B = β = 66.03553557996° = 66°2'7″ = 1.15325343814 rad
Angle ∠ C = γ = 80.71657038762° = 80°42'57″ = 1.40987547907 rad

Height: ha = 24.67224993104
Height: hb = 14.80334995862
Height: hc = 13.70769440613

Median: ma = 24.91548550066
Median: mb = 17.90994946886
Median: mc = 15.58804364509

Inradius: r = 5.52436938755
Circumradius: R = 13.67991978694

Vertex coordinates: A[27; 0] B[0; 0] C[6.09325925926; 13.70769440613]
Centroid: CG[11.03108641975; 4.56989813538]
Coordinates of the circumscribed circle: U[13.5; 2.20769105896]
Coordinates of the inscribed circle: I[8.5; 5.52436938755]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.7511059676° = 146°45'4″ = 0.58803034815 rad
∠ B' = β' = 113.96546442° = 113°57'53″ = 1.15325343814 rad
∠ C' = γ' = 99.28442961238° = 99°17'3″ = 1.40987547907 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.