# 9 12 14 triangle

### Acute scalene triangle.

Sides: a = 9   b = 12   c = 14

Area: T = 53.511109698
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 39.57112194572° = 39°34'16″ = 0.69106480686 rad
Angle ∠ B = β = 58.1454569176° = 58°8'40″ = 1.01548141743 rad
Angle ∠ C = γ = 82.28442113668° = 82°17'3″ = 1.43661304108 rad

Height: ha = 11.89113548844
Height: hb = 8.91985161633
Height: hc = 7.64444424257

Median: ma = 12.23772382505
Median: mb = 10.12442283657
Median: mc = 7.96986887253

Inradius: r = 3.05877769703
Circumradius: R = 7.06439553538

Vertex coordinates: A[14; 0] B[0; 0] C[4.75; 7.64444424257]
Centroid: CG[6.25; 2.54881474752]
Coordinates of the circumscribed circle: U[7; 0.94884014132]
Coordinates of the inscribed circle: I[5.5; 3.05877769703]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.4298780543° = 140°25'44″ = 0.69106480686 rad
∠ B' = β' = 121.8555430824° = 121°51'20″ = 1.01548141743 rad
∠ C' = γ' = 97.71657886332° = 97°42'57″ = 1.43661304108 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.