I. Burchaklar. Masofalar

5. Uchburchak balandligining xossalari.

1. Uchburchakning tomonlari 4; 5 va 6 sm. 4 sm li tomonning 6 sm li tomondagi proeksiyasi necha sm?

A) B) C) D) 2 E) 3
2. Uchburchakning tmonlari 7; 5 va 6 m. 5 m li tomonning 7 m li tomondagi proeksiyasi necha m?
A) 2 B) 2 C) 2 D) 2 E) 2
3. Uchburchakning tomonlari 4; 5 va 6 m. 5 m li tomonning 6 m li tomondagi proeksiyasi necha sm?
A) B) C) D) E)
4. Teng yonli uchburchakning balandligi 15 ga teng. Yon tomoni asosidan 15 ga kam Shu uchburchakning asosini toping.
A) 20 V) 40 S) 30 D) 24 Ye) 32
5. Teng yonli uchburchakning uchidagi burchagi β ga, yon tomoniga tushirilgan balandligi h ga teng. Uchburchakning asosini toping.
A) B) C) D) E)
6. Teng yonli uchburchakning balandligi 4 ga, asosi 6 ga teng. Uning yon tomonini toping.
A) 5,5 B) 7 C) 5 D) 9 E) 4,5
7. Balandligi 6 ga teng bo‘lgan, teng yonli uchburchakning asosi yon tomonidan 6 ga ortiq. Uchburchakning asosini toping.
A) 16 B) 15 C) 18 D) 24 Ye) 20
8. Teng yonli uchburchakning uchidagi burchagi β ga, asosiga tushirilgan
balandligi m ga teng. Uchburchakning yon tomoniga tushirilgan balandligini aniqlang.
A) 2msin B) mcos C) 2mcosβ D) mtgβ Ye) msin
9. Teng yonli uchburchakning asosi 48 ga, unga tushirilgan balandligi 7 ga teng. Uchburchakning yon tomonini toping.
A) 25 B) 27 C) 18 D) 19 E) 15
10. Teng yonli uchburchakning yon tomoni 25 ga teng. Asosiga tushirilgan balandligi asosidan 25 ga kam. Shu uchburchakning asosini toping.
A) 44 B) 30 C) 35 D) 40 E) 48
11. Teng yonli uchburchakning asosi a ga, uchidagi burchagi α ga teng. Uchburchakning yon tomoniga tushirilgan balandligini toping.
A) B) C) D) E)
12. Tomoni ga teng bo‘lgan muntazam uchburchakning ichidagi ixtiyoriy nuqtadan uning tomonlarigacha bo‘lgan masofalar yig‘indisi qanchaga teng bo‘ladi?
A) 3 B) 1,5 C) D) nuqtaning vaziyatiga bog‘liq E)
13. AVS uchburchakda A = 60º, C = 45º , BD AC va AD = 3. VS ning qiymatini toping.
A) B) C) D) E)
14. Teng yonli uchburchakning asosidagi burchagi 30° ga teng. Shu uchburchakning yon tomonlaridan biri va ikkinchi yon tomonga tushirilgan balandligi orasidagi burchakni toping.
A) 150° V) 120° S) 60° D) 45° Ye) 30°
15. Uchburchakning balandligi 4 ga teng. Bu balandlik uchburchakni perimetrlari mos ravishda 16 va 23 ga teng bo‘lgan ikkita uchburchakka ajratadi. Berilgan uchburchakning perimetrini toping.
A) 31 V) 30 S) 28 D) 32 Ye) 34
16. Teng yonli uchburchakning yon tomoni 5 ga, uchidagi burchagining kosinusi
ga teng bo‘lsa, uning yon tomoniga o‘tkazilgan balandlikni aniqlang.
A) 4,8 V) 4,2 S) 5 D) 4,4 Ye) 4,6
17. Teng yonli uchburchak asosining uzunligi yon tomoni uzunligining 40% iga teng. Asosga tushirilgan balandligi 28 ga teng. Shu uchburchakning yon tomoniga tushirilgan balandlikni toping.
A) 13,8 B) 15,4 C) 11,2 D) 10,6 E) 12,2