# 35 60 90 triangle

### Obtuse scalene triangle.

Sides: a = 35   b = 60   c = 90

Area: T = 657.387997954
Perimeter: p = 185
Semiperimeter: s = 92.5

Angle ∠ A = α = 14.09216737232° = 14°5'30″ = 0.24659461036 rad
Angle ∠ B = β = 24.67695454829° = 24°40'10″ = 0.43105647936 rad
Angle ∠ C = γ = 141.2398780794° = 141°14'20″ = 2.46550817564 rad

Height: ha = 37.56545702594
Height: hb = 21.91326659847
Height: hc = 14.60884439898

Median: ma = 74.45663630592
Median: mb = 61.33992207319
Median: mc = 19.6855019685

Inradius: r = 7.10768105896
Circumradius: R = 71.87662382041

Vertex coordinates: A[90; 0] B[0; 0] C[31.80655555556; 14.60884439898]
Centroid: CG[40.60218518519; 4.86994813299]
Coordinates of the circumscribed circle: U[45; -56.04663524091]
Coordinates of the inscribed circle: I[32.5; 7.10768105896]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.9088326277° = 165°54'30″ = 0.24659461036 rad
∠ B' = β' = 155.3330454517° = 155°19'50″ = 0.43105647936 rad
∠ C' = γ' = 38.76112192061° = 38°45'40″ = 2.46550817564 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.