# 7 15 15 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 15   c = 15

Area: T = 51.05108325104
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 26.98767976431° = 26°59'12″ = 0.47110084734 rad
Angle ∠ B = β = 76.50766011784° = 76°30'24″ = 1.33552920901 rad
Angle ∠ C = γ = 76.50766011784° = 76°30'24″ = 1.33552920901 rad

Height: ha = 14.58659521458
Height: hb = 6.8076777668
Height: hc = 6.8076777668

Median: ma = 14.58659521458
Median: mb = 8.98661003778
Median: mc = 8.98661003778

Inradius: r = 2.765950446
Circumradius: R = 7.71329006646

Vertex coordinates: A[15; 0] B[0; 0] C[1.63333333333; 6.8076777668]
Centroid: CG[5.54444444444; 2.26989258893]
Coordinates of the circumscribed circle: U[7.5; 1.87996768218]
Coordinates of the inscribed circle: I[3.5; 2.765950446]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.0133202357° = 153°48″ = 0.47110084734 rad
∠ B' = β' = 103.4933398822° = 103°29'36″ = 1.33552920901 rad
∠ C' = γ' = 103.4933398822° = 103°29'36″ = 1.33552920901 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.