Question

Encontre os comprimentos dos lados do triangulo PQR.
a) P(3, – 2, – 3), Q(7, 0, 1), R(1, 2, 1)
b) P(2, – 1, 0), Q(4, 1, 1), R(4, – 5, 4)

Answer 1

Ola Vitor

a)

PQ² = 4² + 2² + 4² = 16 + 4 + 16 = 36
PQ =6

PR²  = 2² + 4²  + 4²  = 4 + 16 + 16 = 36
PR = 6

QR² = 6²  + 2²  + 0²  = 36 + 4 = 40
QR = 2√10

b)

PQ² = 2² + 2² + 1² = 4 + 4 + 1 = 9
PQ = 3

PR² = 2² + 4² + 4² = 4 + 16 + 16 = 36
PR = 6

QR² = 0²  + 6² + 3² = 36 + 9 = 45 
QR = 3√5