# 7 17 17 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 17   c = 17

Area: T = 58.22553166586
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 23.7622312042° = 23°45'44″ = 0.4154730583 rad
Angle ∠ B = β = 78.1198843979° = 78°7'8″ = 1.36334310353 rad
Angle ∠ C = γ = 78.1198843979° = 78°7'8″ = 1.36334310353 rad

Height: ha = 16.63658047596
Height: hb = 6.8550037254
Height: hc = 6.8550037254

Median: ma = 16.63658047596
Median: mb = 9.83661577865
Median: mc = 9.83661577865

Inradius: r = 2.84402593492
Circumradius: R = 8.68660841473

Vertex coordinates: A[17; 0] B[0; 0] C[1.44111764706; 6.8550037254]
Centroid: CG[6.14770588235; 2.28333457513]
Coordinates of the circumscribed circle: U[8.5; 1.78883114421]
Coordinates of the inscribed circle: I[3.5; 2.84402593492]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.2387687958° = 156°14'16″ = 0.4154730583 rad
∠ B' = β' = 101.8811156021° = 101°52'52″ = 1.36334310353 rad
∠ C' = γ' = 101.8811156021° = 101°52'52″ = 1.36334310353 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.