# 17 17 24 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 17   c = 24

Area: T = 144.4999134946
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 45.0999127844° = 45°5'57″ = 0.78771282707 rad
Angle ∠ B = β = 45.0999127844° = 45°5'57″ = 0.78771282707 rad
Angle ∠ C = γ = 89.80217443119° = 89°48'6″ = 1.56773361123 rad

Height: ha = 176.9998982289
Height: hb = 176.9998982289
Height: hc = 12.04215945788

Median: ma = 18.98802528961
Median: mb = 18.98802528961
Median: mc = 12.04215945788

Inradius: r = 4.98327287912
Circumradius: R = 122.0000718389

Vertex coordinates: A[24; 0] B[0; 0] C[12; 12.04215945788]
Centroid: CG[12; 4.01438648596]
Coordinates of the circumscribed circle: U[12; 0.04215227399]
Coordinates of the inscribed circle: I[12; 4.98327287912]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.9010872156° = 134°54'3″ = 0.78771282707 rad
∠ B' = β' = 134.9010872156° = 134°54'3″ = 0.78771282707 rad
∠ C' = γ' = 90.19882556881° = 90°11'54″ = 1.56773361123 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.