1-VARIANT
1. Uchburchakning
bitta ichki burchagi
80°, qolgan burchaklari 3:7 nisbatda.
Uchburchakning noma’lum ikkita burchagini toping.
2. Quyidagi rasmda
𝑎//𝑏 bo’lsa, 𝑥 ni toping.
3. To’g’ri burchakli uchburchakning bitta o’tkir burchagi ikkinchisidan 2 marta katta.
Uning kichik tomoni 15 sm bo’lsa, katta tomonini toping.
4. Teng yonli uchburchakning uchidagi tashqi burchagi
70° ga teng bo’lsa, uning ichki
burchaklarini toping.
5. Quyidagi rasmda AC=BD bo’lsa BAC va CDB uchburchaklar tengligini isbotlang:
______________________________________________________________________
2-VARIANT
1. Uchburchakning ichki burchaklari 3:4:11 nisbtda bo’lsa, burchaklarini toping.
2. Uchburchakning bitta tashqi burchagi 150
° ga teng, shu burchakka qo’shni bo’lmagan
ikkita ichki burchagi 4:6 nisbatda bo’lsa, uchburchakning ichki burchaklarini toping.
3. To’g’ri burchakli uchburchakning gipotenuzasi uzunligi 20 sm ga, bitta kateti uzunligi
esa 10 sm ga teng bo’lsa, uchburchakning ichki burchaklarini toping.
4. To’g’ri burchakli ABC uchburchakning to’g’ri burchagi
uchidan CD balandlik
tushirilgan. Agar
° bo’lsa, CDB burchakni toping.
5. Quyidagi rasmda
isbotlang:
1-VARIANT
1. Uchburchakning bitta ichki burchagi
80°, qolgan burchaklari 3:7 nisbatda.
Uchburchakning noma’lum ikkita burchagini toping.
2. Quyidagi rasmda
𝑎//𝑏 bo’lsa, 𝑥 ni toping.
3. To’g’ri burchakli uchburchakning bitta o’tkir burchagi ikkinchisidan 2 marta katta.
Uning kichik tomoni 15 sm bo’lsa, katta tomonini toping.
4. Teng yonli uchburchakning uchidagi tashqi burchagi
70° ga teng bo’lsa, uning ichki
burchaklarini toping.
5. Quyidagi rasmda AC=BD bo’lsa BAC va CDB uchburchaklar tengligini isbotlang:
______________________________________________________________________
2-VARIANT
1. Uchburchakning ichki burchaklari 3:4:11 nisbtda bo’lsa, burchaklarini toping.
2. Uchburchakning bitta tashqi burchagi 150
° ga teng, shu burchakka qo’shni bo’lmagan
ikkita ichki burchagi 4:6 nisbatda bo’lsa, uchburchakning ichki burchaklarini toping.
3. To’g’ri burchakli uchburchakning gipotenuzasi uzunligi 20 sm ga, bitta kateti uzunligi
esa 10 sm ga teng bo’lsa, uchburchakning ichki burchaklarini toping.
4. To’g’ri burchakli ABC uchburchakning to’g’ri burchagi uchidan CD balandlik
tushirilgan. Agar
° bo’lsa, CDB burchakni toping.
5. Quyidagi rasmda
isbotlang: