# Triangle calculator

Please enter what you know about the triangle:
You have entered area T and aspect ratio a:b:c = 2:3:4.

### Obtuse scalene triangle.

Sides: a = 1.85554384558   b = 2.78331576837   c = 3.71108769116

Area: T = 2.5
Perimeter: p = 8.34994730511
Semiperimeter: s = 4.17547365256

Angle ∠ A = α = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ B = β = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ C = γ = 104.4787512186° = 104°28'39″ = 1.82334765819 rad

Height: ha = 2.69547808397
Height: hb = 1.79765205598
Height: hc = 1.34773904199

Median: ma = 3.14660489677
Median: mb = 2.58326610279
Median: mc = 1.46768528947

Inradius: r = 0.59988401866
Circumradius: R = 1.91662885971

Vertex coordinates: A[3.71108769116; 0] B[0; 0] C[1.27656139384; 1.34773904199]
Centroid: CG[1.66221636167; 0.449913014]
Coordinates of the circumscribed circle: U[1.85554384558; -0.47990721493]
Coordinates of the inscribed circle: I[1.39215788419; 0.59988401866]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ B' = β' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ C' = γ' = 75.52224878141° = 75°31'21″ = 1.82334765819 rad

# How did we calculate this triangle?

### 1. Input data entered: area T and aspect ratio a:b:c. ### 2. From side a and angle β we calculate height hc: 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines ### 8. Inradius ### 9. Circumradius ### 10. 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.