Sinuslar va kosinuslar teoremalarining ba‘zi tatbiqlari — 9-sinf Geometriya test savollari

1.Uchburchakda a = 8 sm, b = 5 sm, C = 60°. Uchburchak yuzini toping.

• A)7√3 sm²
• B)10√3 sm²
• C)35 sm²
• D)20√3 sm²

2.Uchburchakda a = 6 sm, b = 10 sm, c = 8 sm. C burchakning kosinusini toping.

• A)-0,6
• B)0,6
• C)0,8
• D)0,5

3.Uchburchakda (a = 6 sm, b = 10 sm, c = 8 sm) uning yuzini sinC orqali toping.

• A)24 sm²
• B)30 sm²
• C)18 sm²
• D)48 sm²

4.Parallelogramning tomonlari 5 sm va 8 sm, ular orasidagi burchak 60°. Kichik diagonalini toping.

• A)√89 sm
• B)11 sm
• C)3 sm
• D)7 sm

5.Parallelogramda (tomonlari 5 sm, 8 sm, orasidagi burchak 60°) katta diagonalini toping.

• A)√69 sm
• B)√129 sm
• C)7 sm
• D)13 sm

6.To‘g‘ri burchakli uchburchakda katetlari 6 sm va 8 sm, gipotenuzasi 10 sm. Medianalar formulasi $m_a^2=\frac{2b^2+2c^2-a^2}{4}$ yordamida gipotenuzaga tushirilgan medianani toping.

• A)7 sm
• B)5 sm
• C)10 sm
• D)2,5 sm

7.Teng tomonli uchburchakning tomoni 6 sm. Medianalar formulasidan foydalanib medianasini toping.

• A)3√2 sm
• B)3 sm
• C)6 sm
• D)3√3 sm

8.Uchburchakda a = 9, b = 12, c = 15. Eng kichik burchakning (9 ga qarshi) sinusini toping.

• A)$\frac{4}{3}$
• B)$\frac{5}{4}$
• C)$\frac{3}{5}$
• D)$\frac{4}{5}$

9.Uchburchakda a = 10 sm, A = 30°, c = 10√3 sm. O‘tkir uchburchak holatida C burchakni toping.

• A)120°
• B)30°
• C)60°
• D)90°

10.Uchburchakda (a = 10, A = 30°, C = 60°) B burchakni toping.

• A)90°
• B)60°
• C)100°
• D)120°