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Mavzu yuzasidan ochiq testlar

1. 
   Muntazam uchburchakka tashqi chizilgan aylananing radiusi 24 sm bo‘lsa, uchburchakning yuzi hisoblansin.
   

1. 
   B) C) D) E)
   

2. 
   Yon tomoni 4√ 3, uchidagi burchagi 60 ga teng bo’lgan teng yonli uchburchakka ichki chizilgan aylananing radiusini toping.
   

A) 2√ 3 B) 4 C) 2 D) √ 3 E) 1

3. 
   Tog’ri burchakli uchburchakning bir kateti 6 sm ga, bu katetning gipotenuzadagi proeksiyasi 3,6 sm ga teng. Uchburchakka ichki chizilgan aylananing radiusini toping.
   

A) 3 B) 2, 5 C) 2 D) 2, 4 E) 1, 8

4. 
   Teng yonli uchburchakning balandligi 20, asosining yon tomoniga nisbati esa 4 : 3 kabi. Shu uchburchakka ichki chizilgan aylananing radiusini toping.
   

A) 4 B) 10 C) 12 D) 6 E) 8

5. 
   To’g’ri burchakli uchburchakka ichki chizilgan aylananing radiusi katetlar ayirmasining yarmiga teng. Katta katetning kichik katetga nisbatini toping.
   

A)√ 3 B) 1, 5 C) √ 2 D) 1 E) 2

6. 
   To’g’ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida katetlardan birini to’g’ri burchak uchidan boshlab hisoblaganda 6 va 10 ga teng kesmalarga ajratadi. Uchburchakning perimetrini toping.
   

A)80 B) 74 C) 82 D) 75 E) 81

7. 
   To’g’ri burchakli uchburchakning katetlaridan biri 15 ga, ikkinchi katetining gipotenuzadagi proyeksiyasi 16 ga teng. Bu uchburchakka ichki chizilgan aylananing radiusini toping.
   

A) 5 B) 6 C) 7 D) 8 E) 4

8. 
   Teng yonli uchburchakning yon tomoni 5 ga, asosidagi burchakning kosinusi 0,6 ga teng. Shu uchburchakka ichki chizilgan aylananing radiusini toping.
   

A) 3 B) 1, 5 C) √ 2 D) 1, 2 E) 2, 4

9. 
   Aylananing radiusi 10 sm. Shu aylanaga ichki chizilgan muntazam uchburchak medianasining uzunligini toping.
   

A) 12 B) 3√10 C) 15 D) 18 E) 10√3

10. 
    To’g’ri burchakli uchburchak gipotenuzasiga tushgan mediana va balandlik burchakni teng qismlarga ajratadi. Mediana va balandlik hosil qilgan uchburchak yuzi 4√ 3 ga teng bo’lsa, uchburchakka ichki chizilgan aylana radiusini toping.
    

A) B) C)

D) E)