# 7 15 17 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 15   c = 17

Area: T = 52.36659001641
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 24.25496286025° = 24°14'59″ = 0.42332358615 rad
Angle ∠ B = β = 61.65443276393° = 61°39'16″ = 1.07660710154 rad
Angle ∠ C = γ = 94.09660437582° = 94°5'46″ = 1.64222857767 rad

Height: ha = 14.96216857612
Height: hb = 6.98221200219
Height: hc = 6.1610694137

Median: ma = 15.64444878472
Median: mb = 10.61883802908
Median: mc = 8.04767384697

Inradius: r = 2.68554307776
Circumradius: R = 8.52217670011

Vertex coordinates: A[17; 0] B[0; 0] C[3.32435294118; 6.1610694137]
Centroid: CG[6.77545098039; 2.05435647123]
Coordinates of the circumscribed circle: U[8.5; -0.60986976429]
Coordinates of the inscribed circle: I[4.5; 2.68554307776]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.7550371397° = 155°45'1″ = 0.42332358615 rad
∠ B' = β' = 118.3465672361° = 118°20'44″ = 1.07660710154 rad
∠ C' = γ' = 85.90439562418° = 85°54'14″ = 1.64222857767 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.