# 9 14 15 triangle

### Acute scalene triangle.

Sides: a = 9   b = 14   c = 15

Area: T = 61.64441400297
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 35.95105676196° = 35°57'2″ = 0.62774557729 rad
Angle ∠ B = β = 65.95879240942° = 65°57'29″ = 1.15111829432 rad
Angle ∠ C = γ = 78.09215082861° = 78°5'29″ = 1.36329539374 rad

Height: ha = 13.69986977844
Height: hb = 8.80663057185
Height: hc = 8.21992186706

Median: ma = 13.79331142241
Median: mb = 10.19880390272
Median: mc = 9.06991785736

Inradius: r = 3.24444284226
Circumradius: R = 7.66549621484

Vertex coordinates: A[15; 0] B[0; 0] C[3.66766666667; 8.21992186706]
Centroid: CG[6.22222222222; 2.74397395569]
Coordinates of the circumscribed circle: U[7.5; 1.5821658856]
Coordinates of the inscribed circle: I[5; 3.24444284226]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.049943238° = 144°2'58″ = 0.62774557729 rad
∠ B' = β' = 114.0422075906° = 114°2'31″ = 1.15111829432 rad
∠ C' = γ' = 101.9088491714° = 101°54'31″ = 1.36329539374 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.