Uchburchak yuzini burchak sinusi yordamida hisoblash — 9-sinf Geometriya test savollari

1.Tomonlari 10 sm va 12 sm, ular orasidagi burchak 150° bo‘lgan uchburchak yuzini toping.

• A)103,9 sm²
• B)30 sm²
• C)51,96 sm²
• D)60 sm²

2.Tomonlari 5 sm va 5 sm, ular orasidagi burchak 120° bo‘lgan uchburchak yuzini toping.

• A)12,5√3 sm²
• B)25√3 sm²
• C)12,5 sm²
• D)6,25√3 sm²

3.Muntazam oltiburchakning tomoni 4 sm. Uni markazdan 6 ta teng uchburchakka bo‘lganda (markaziy burchak 60°, ikki tomoni radiusga teng) har bir uchburchakning yuzini toping.

• A)4√3 sm²
• B)8√3 sm²
• C)4 sm²
• D)16 sm²

4.Tomonlari 6 sm va 8 sm, ular orasidagi burchak 60° bo‘lgan uchburchak yuzini toping.

• A)48 sm²
• B)24 sm²
• C)6√3 sm²
• D)12√3 sm²

5.Tomonlari 7 sm va 9 sm, ular orasidagi burchak 90° bo‘lgan uchburchak yuzini toping.

• A)15,75 sm²
• B)63 sm²
• C)16 sm²
• D)31,5 sm²

6.Tomonlari 4 sm va 6 sm, ular orasidagi burchak 45° bo‘lgan uchburchak yuzini toping.

• A)6√2 sm²
• B)12√2 sm²
• C)24 sm²
• D)12 sm²

7.Parallelogramning tomonlari 6 sm va 9 sm, ular orasidagi burchak 30°. Parallelogram yuzini toping (S = ab·sinC).

• A)46,77 sm²
• B)27 sm²
• C)13,5 sm²
• D)54 sm²

8.Uchburchakning ikki tomoni 8 sm va 10 sm, yuzi 20 sm². Ular orasidagi burchakning sinusini toping.

• A)1
• B)0,25
• C)0,75
• D)0,5

9.Yuzi 18 sm² bo‘lgan uchburchakning ikki tomoni 9 sm va 8 sm. Ular orasidagi burchakning sinusini toping.

• A)$\frac{2}{3}$
• B)1
• C)0,25
• D)0,5

10.Yuzi 24 sm², bir tomoni 8 sm va ular orasidagi burchak 30° bo‘lgan uchburchakning ikkinchi tomonini toping.

• A)3 sm
• B)24 sm
• C)6 sm
• D)12 sm