Verified answer

two:

Sine law : SIN(A)/a = SIN(B)/b = SIN(C)/c

SIDES: p= 6 , q= 8 , r= 12.73938, area: 18.26154 perimeter: 26.73938

angles: P= 20.99998°, Q= 28.54336°, R= 130.4566°

centroid/gravity (medians): ( 6.736008, .9556477)

circumcenter (Perp. Bisect.): ( 6.369689,-5.431898) Radius: 8.371373

orthocenter (altitudes): ( 7.468644, 13.73074)

Euler Line: -17.43715x + y =-116.5011

incenter: (angle bisectors): ( 7.369689, 1.365891) Radius: 1.365904

Sides:

( 0 , 0 ) to: ( 12.73938 , 0 ) { 12.73938y = } is: 12.73938

( 12.73938 , 0 ) to: ( 7.468644 , 2.866943 ) { -5.270735y = 2.866943x-36.52308 } is: 6.000001

( 7.468644 , 2.866943 ) to: ( 0 , 0 ) { -7.468644y = -2.866943x} is: 8

Medians:

( 0 , 0 ) to: ( 10.10401 , 1.433472 ) { 10.10401y = 1.433472x} is: 10.20519

( 12.73938 , 0 ) to: ( 3.734322 , 1.433472 ) { -9.005057y = 1.433472x-18.26154 } is: 9.118437

( 7.468644 , 2.866943 ) to: ( 6.369689 , 0 ) { -1.098954y = -2.866943x + 18.26154 } is: 3.070352

Altitudes:

( 7.468644 , 2.866943 ) { x= 7.468644 } is: 2.866943

( 0 , 0 ) { -2.866943y = -5.270735x} is: 6.087178

( 12.73938 , 0 ) { -2.866943y = 7.468644x-95.14588 } is: 4.565384

Obtuse triangle solution:

SIDES: p= 6 , q= 8 , r= 2.19791, area: 3.150647 perimeter: 16.19791

angles: P= 20.99999°, Q= 151.4566°, R= 7.543373°

centroid/gravity (medians): ( 3.222184, .9556477)

circumcenter (Perp. Bisect.): ( 1.098954, 8.298841) Radius: 8.371369

orthocenter (altitudes): ( 7.468643,-13.73073)

Euler Line: 3.458501x + y = 12.09958

incenter: (angle bisectors): ( 2.098955, .3890182) Radius: .3890221

Sides:

( 0 , 0 ) to: ( 2.19791 , 0 ) { 2.19791y = } is: 2.19791

( 2.19791 , 0 ) to: ( 7.468644 , 2.866943 ) { 5.270734y = 2.866943x-6.301282 } is: 6

( 7.468644 , 2.866943 ) to: ( 0 , 0 ) { -7.468644y = -2.866943x} is: 8

Medians:

( 0 , 0 ) to: ( 4.833277 , 1.433472 ) { 4.833277y = 1.433472x} is: 5.041369

( 2.19791 , 0 ) to: ( 3.734322 , 1.433472 ) { 1.536412y = 1.433472x-3.150641 } is: 2.101286

( 7.468644 , 2.866943 ) to: ( 1.098955 , 0 ) { -6.369689y = -2.866943x + 3.15064 } is: 6.985148

Altitudes:

( 7.468644 , 2.866943 ) { x= 7.468644 } is: 2.866943

( 0 , 0 ) { -2.866943y = 5.270734x} is: 1.050214

( 2.19791 , 0 ) { -2.866943y = 7.468644x-16.4154 } is: .7876602