# 164 145 89 triangle

### Acute scalene triangle.

Sides: a = 164   b = 145   c = 89

Area: T = 6432.115473778
Perimeter: p = 398
Semiperimeter: s = 199

Angle ∠ A = α = 85.44443937593° = 85°26'40″ = 1.49112859985 rad
Angle ∠ B = β = 61.80660172058° = 61°48'22″ = 1.07987184978 rad
Angle ∠ C = γ = 32.75495890349° = 32°44'59″ = 0.57215881573 rad

Height: ha = 78.44404236315
Height: hb = 88.71988239694
Height: hc = 144.542190422

Median: ma = 88.02884045067
Median: mb = 110.237724416
Median: mc = 148.2577377557

Inradius: r = 32.3222184612
Circumradius: R = 82.26598821025

Vertex coordinates: A[89; 0] B[0; 0] C[77.48331460674; 144.542190422]
Centroid: CG[55.49443820225; 48.18106347399]
Coordinates of the circumscribed circle: U[44.5; 69.18440892368]
Coordinates of the inscribed circle: I[54; 32.3222184612]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 94.55656062407° = 94°33'20″ = 1.49112859985 rad
∠ B' = β' = 118.1943982794° = 118°11'38″ = 1.07987184978 rad
∠ C' = γ' = 147.2550410965° = 147°15'1″ = 0.57215881573 rad

# How did we calculate this triangle?

### 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.