# 9 16 17 triangle

### Acute scalene triangle.

Sides: a = 9   b = 16   c = 17

Area: T = 70.99329573972
Perimeter: p = 42
Semiperimeter: s = 21

Angle ∠ A = α = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ B = β = 68.12770919336° = 68°7'38″ = 1.18990420641 rad
Angle ∠ C = γ = 80.40659317731° = 80°24'21″ = 1.40333482476 rad

Height: ha = 15.77662127549
Height: hb = 8.87441196746
Height: hc = 8.3522112635

Median: ma = 15.88223801743
Median: mb = 11
Median: mc = 9.81107084352

Inradius: r = 3.38106170189
Circumradius: R = 8.62105733982

Vertex coordinates: A[17; 0] B[0; 0] C[3.35329411765; 8.3522112635]
Centroid: CG[6.78443137255; 2.7844037545]
Coordinates of the circumscribed circle: U[8.5; 1.4376762233]
Coordinates of the inscribed circle: I[5; 3.38106170189]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ B' = β' = 111.8732908066° = 111°52'22″ = 1.18990420641 rad
∠ C' = γ' = 99.59440682269° = 99°35'39″ = 1.40333482476 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.