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.
- A. $4\ \text{sm}$
- B. $6\ \text{sm}$
- C. $5\ \text{sm}$
- D. $7\ \text{sm}$
Burchaklar va masofalar bo‘yicha savol
Javob va yechimni ko‘rish
Javob: $5\ \text{sm}$
AB segmentining uzunligi $12\ \text{sm}$. Nuqtа C AB ichida joylashgan va $AC=7\ \text{sm}$ berilgan. AB segmentini C nuqtasida ikki qismga bo‘linadi: $AC$ va $CB$. Shuning uchun
\[
AB = AC + CB \quad\Longrightarrow\quad 12 = 7 + CB.
\]
Ikkala tomondan $7$ ni ayirsak,
\[
CB = 12 - 7 = 5\ \text{sm}.
\]
Demak, $CB$ masofasi $5\ \text{sm}$ ga teng. (Javob: C.)
Mavzuni mustahkamlang
Bu savol Burchaklar va masofalar mavzusiga tegishli. Ta’riflar, formulalar va misollarni mavzu sahifasida ko‘ring.
Mavzuni o‘rganishShu mavzudagi boshqa savollar
$\triangle ABC$ to'g'ri burchakli bo'lib, $\angle B = 90^\circ$, $AB = 3\,\text{sm}$, $BC = 4\,\text{sm}$. $AC$ ning uzunligini 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.