# 7 24 28 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 24   c = 28

Area: T = 743.9995777015
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 12.72329440288° = 12°43'23″ = 0.22220572638 rad
Angle ∠ B = β = 49.03439100783° = 49°2'2″ = 0.8565803176 rad
Angle ∠ C = γ = 118.2433145893° = 118°14'35″ = 2.06437322137 rad

Height: ha = 21.14327364861
Height: hb = 6.16766314751
Height: hc = 5.28656841215

Median: ma = 25.84108591188
Median: mb = 16.50875740192
Median: mc = 10.79435165725

Inradius: r = 2.50884602611
Circumradius: R = 15.89219825832

Vertex coordinates: A[28; 0] B[0; 0] C[4.58992857143; 5.28656841215]
Centroid: CG[10.86330952381; 1.76218947072]
Coordinates of the circumscribed circle: U[14; -7.52203131867]
Coordinates of the inscribed circle: I[5.5; 2.50884602611]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.2777055971° = 167°16'37″ = 0.22220572638 rad
∠ B' = β' = 130.9666089922° = 130°57'58″ = 0.8565803176 rad
∠ C' = γ' = 61.75768541071° = 61°45'25″ = 2.06437322137 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.