Burchaklar va masofalar

$\triangle ABC$ to'g'ri burchakli bo'lib, $\angle B = 90^\circ$, $AB = 3\,\text{sm}$, $BC = 4\,\text{sm}$. $AC$ ning uzunligini toping. A va B nuqtalari orasidagi masofa $12\ \text{sm}$. Nuqta C, $AB$ kesmasining ichida joylashgan bo‘lib, $AC = 7\ \text{sm}$ ga teng. $CB$ masofasini toping. 5 sm va 12 sm tomonlari berilgan to'g'ri to'rtburchakning diagonal uzunligini toping. $\triangle ABC$ uchburchagida $\angle A=30^{\circ}$, $\angle B=70^{\circ}$. $\angle C$ ning o'lchamini toping. Nokta $O$ va $P$ orasidagi masofa $12\,\text{cm}$. $O$ nuqtasining uzantisida, $O$ ning chap tomonida $5\,\text{cm}$ ga joylashgan $Q$ nuqtasi berilgan. $QP$ masofasini hisoblang. To'g'ri burchakli uchburchakda katetlar uzunliklari $3\,\text{cm}$ va $4\,\text{cm}$. Gipotenuzaning uzunligini toping.