# 17 18 24 triangle

### Acute scalene triangle.

Sides: a = 17   b = 18   c = 24

Area: T = 152.7220128012
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 44.99443970337° = 44°59'40″ = 0.78553003732 rad
Angle ∠ B = β = 48.47216771644° = 48°28'18″ = 0.84659903605 rad
Angle ∠ C = γ = 86.53439258019° = 86°32'2″ = 1.51103019199 rad

Height: ha = 17.96770738838
Height: hb = 16.96989031124
Height: hc = 12.72766773343

Median: ma = 19.43657917256
Median: mb = 18.74883332593
Median: mc = 12.7487548784

Inradius: r = 5.17769534919
Circumradius: R = 12.02219909707

Vertex coordinates: A[24; 0] B[0; 0] C[11.27108333333; 12.72766773343]
Centroid: CG[11.75769444444; 4.24222257781]
Coordinates of the circumscribed circle: U[12; 0.72768197155]
Coordinates of the inscribed circle: I[11.5; 5.17769534919]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.0065602966° = 135°20″ = 0.78553003732 rad
∠ B' = β' = 131.5288322836° = 131°31'42″ = 0.84659903605 rad
∠ C' = γ' = 93.46660741981° = 93°27'58″ = 1.51103019199 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.