AB = √((6 - 3)² + (3 + 5)²) = √(3² + 8²) = √73 = 8,544 cm
BC = √(5² + 3²) = √(25 + 9) = √34 = 5,83 cm
AC = √(6² + 3²) = √(36 + 9) = √45 = 6,7 cm
s = 1/2 x (AB + BC + AC) =1/2 x (8,544 + 5,83 + 6,7) = 1/2 x 21,074 = 10,537 cm
Luas ΔABC = √(s x (s - AB) x (s - BC) x (s - AC)) = √(10,537 x (10,537 - 8,544) x (10,537 - 5,83) x (10,537 - 6,7)) = √(10,537 x 1,993 x 4,707 x 3,837) = 19,475 cm²
Verified answer
Bab SegitigaMatematika SMP Kelas VIII
AB = √((6 - 3)² + (3 + 5)²)
= √(3² + 8²)
= √73
= 8,544 cm
BC = √(5² + 3²)
= √(25 + 9)
= √34
= 5,83 cm
AC = √(6² + 3²)
= √(36 + 9)
= √45
= 6,7 cm
s = 1/2 x (AB + BC + AC)
=1/2 x (8,544 + 5,83 + 6,7)
= 1/2 x 21,074
= 10,537 cm
Luas ΔABC = √(s x (s - AB) x (s - BC) x (s - AC))
= √(10,537 x (10,537 - 8,544) x (10,537 - 5,83) x (10,537 - 6,7))
= √(10,537 x 1,993 x 4,707 x 3,837)
= 19,475 cm²