# 10 27 30 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 27   c = 30

Area: T = 133.8288014631
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 19.29554560828° = 19°17'44″ = 0.33767692393 rad
Angle ∠ B = β = 63.14993340659° = 63°8'58″ = 1.10221637999 rad
Angle ∠ C = γ = 97.55552098513° = 97°33'19″ = 1.70326596144 rad

Height: ha = 26.76656029261
Height: hb = 9.91331862689
Height: hc = 8.9221867642

Median: ma = 28.09880426365
Median: mb = 17.826554347
Median: mc = 13.76658998979

Inradius: r = 3.99548661084
Circumradius: R = 15.13113609904

Vertex coordinates: A[30; 0] B[0; 0] C[4.51766666667; 8.9221867642]
Centroid: CG[11.50655555556; 2.97439558807]
Coordinates of the circumscribed circle: U[15; -1.98994937598]
Coordinates of the inscribed circle: I[6.5; 3.99548661084]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.7054543917° = 160°42'16″ = 0.33767692393 rad
∠ B' = β' = 116.8510665934° = 116°51'2″ = 1.10221637999 rad
∠ C' = γ' = 82.44547901487° = 82°26'41″ = 1.70326596144 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.