# 7 9 10 triangle

### Acute scalene triangle.

Sides: a = 7   b = 9   c = 10

Area: T = 30.59441170816
Perimeter: p = 26
Semiperimeter: s = 13

Angle ∠ A = α = 42.83334280661° = 42°50' = 0.74875843497 rad
Angle ∠ B = β = 60.9410718932° = 60°56'27″ = 1.06436161939 rad
Angle ∠ C = γ = 76.2265853002° = 76°13'33″ = 1.333039211 rad

Height: ha = 8.7411176309
Height: hb = 6.79986926848
Height: hc = 6.11988234163

Median: ma = 8.84659030065
Median: mb = 7.36554599313
Median: mc = 6.32545553203

Inradius: r = 2.35333936217
Circumradius: R = 5.14880485474

Vertex coordinates: A[10; 0] B[0; 0] C[3.4; 6.11988234163]
Centroid: CG[4.46766666667; 2.04396078054]
Coordinates of the circumscribed circle: U[5; 1.22657258446]
Coordinates of the inscribed circle: I[4; 2.35333936217]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.1676571934° = 137°10' = 0.74875843497 rad
∠ B' = β' = 119.0599281068° = 119°3'33″ = 1.06436161939 rad
∠ C' = γ' = 103.7744146998° = 103°46'27″ = 1.333039211 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.