# 5 9 10 triangle

### Acute scalene triangle.

Sides: a = 5   b = 9   c = 10

Area: T = 22.45499443206
Perimeter: p = 24
Semiperimeter: s = 12

Angle ∠ A = α = 29.92664348666° = 29°55'35″ = 0.52223148218 rad
Angle ∠ B = β = 63.89661188627° = 63°53'46″ = 1.11551976534 rad
Angle ∠ C = γ = 86.17774462707° = 86°10'39″ = 1.50440801784 rad

Height: ha = 8.98799777283
Height: hb = 4.98988765157
Height: hc = 4.49899888641

Median: ma = 9.17987798753
Median: mb = 6.5
Median: mc = 5.29215026221

Inradius: r = 1.87108286934
Circumradius: R = 5.01111482859

Vertex coordinates: A[10; 0] B[0; 0] C[2.2; 4.49899888641]
Centroid: CG[4.06766666667; 1.49766629547]
Coordinates of the circumscribed circle: U[5; 0.33440765524]
Coordinates of the inscribed circle: I[3; 1.87108286934]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.0743565133° = 150°4'25″ = 0.52223148218 rad
∠ B' = β' = 116.1043881137° = 116°6'14″ = 1.11551976534 rad
∠ C' = γ' = 93.82325537293° = 93°49'21″ = 1.50440801784 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.