Question

Решите по Теореме Пифагора​

Answer 1

1)PR = ✓(QP²+QR²) = ✓4+16 = ✓20 = 2✓5

2) PO=OR = ✓5

3)cos QRP = QR/RP = 4/2✓5 = 2/✓5

4)Теорема косинусов для треугольника QOR:

QO² = QR²+OR² - 2QR•OR•cosQRP = 16+5 - 2•4•✓5•2/✓5 = 21-16 = 5

QO = ✓5