Question

Pls help me in this quests. ​

Answer 1

Explicație pas cu pas:

AP ≡ RC = 360 m

AR ≡ PC = 800 m

PB = 480 m =>

BC = PC - PB = 800 - 480 = 320

=> BC = 320 m

DR = 120 m =>

CD = CR - DR = 360 - 120 = 240

=> CD = 240 m

ΔAPB: AB² = AP² + PB² = 360² + 480²

=> AB = 600 m

ΔBCD: BD² = BC² + CD² = 320² + 240²

=> BD = 400 m

ΔARD: AD² = AR² + DR² = 800² + 120²

=> AD = 40√409 m

$Perimeter_{\triangle ABD} = AB + BD + AD \\ = 600 + 400 + 40√409 = 40(25 + √409) m$

√409 ≈ 20,22

$\implies P_{\triangle ABD} = 40(25 + √409) \: m \\ ≈ 1809 \: m > 1800 \: m = 1,8 \: km$