Uchburchaklar xossalariga doir masalalar yechish
![Geometriya
Uchburchaklar
xossalariga doir
masalalar yechish. Mavzu:](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_1.png)
![T
e
n
g
t o
m
o
n
l i To‘g‘ri burchakli
O
‘ t k i r b u r c h a k l iUchburchaklar
T
e
n
g
y
o
n
l i
O
‘ t m
a s b
u
r c h
a k l i Turli tomonli](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_2.png)
![= +
Ichki burchak
xossasi Tashqi burchak
xossasi
Teng tomonli∆
xossasi](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_3.png)
![c = 2a (30°)
90° li∆
O‘tmas burchakli∆
O‘tkir burchakli∆](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_4.png)
![a = b , =
90° li∆
Teng yonli∆
Teng tomonli∆](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_5.png)
![66 To‘g‘ri burchakli ABC uchburchakda
to‘g‘ri burchak, A uchidagi tashqi
burchak 120 ga teng.
Agar, AC + AB = 18 sm bo‘lsa,
uchburchakning gipotenuzasini toping .Masala](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_6.png)
![7 c = 2b (30°)
A CB
120°Berilgan:
∆ ABC - 90°li,
= 120°; AC+AB=18sm
Topish kerak: AB=c=?
= 180°-120°=60°
=90-= 30 c=2b
b+ c = 18;
b+2b=18;↔ 3b =18
b = 6 cm; c=2·6=12(sm)
bc
Javob: 12 sm 30°
60°](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_7.png)
![88Rasmda berilgan
ma’lumotlardan
foydalanib, 1 > 3
ekanligini isbotlang. Masala](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_8.png)
![99Isbot:
2 - △ BDCning tashqi gi
2 =3+4
(tashqi burchak xossasiga ) va 4 > 0 Berilgan:
ACD- teng yonli
Isbot qilish kerak:
> 3 ekanligini
△ ACD - teng yonli bo‘lgani uchun 1=2.
Demak, 1 >3 bo‘ladi.](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_9.png)
![1010 Uchburchakning 117 li tashqi ⁰
burchagiga qo‘shni bo‘lmagan ichki
burchaklarning nisbati 5:4 kabi.
Uchburchakning ichki burchaklarini
toping. 10-masala (4- bet)](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_10.png)
![= +
A CB
117° Berilgan:
∆ ABC - ixtiyoriy
= 117°; = 5:4
Topish kerak:
Y: 1) 5x+4x =117⁰
9x = 117
⁰
x=117 :9
⁰
x=13
⁰ 4x5x
2) 5∙13 =65
⁰ ⁰ ()
4∙13 =52
⁰ ⁰ ()
180 -117 =63
⁰ ⁰ ⁰ (A)](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_11.png)
![To‘g‘ri burchakli ABC uchburchaknig
C burchagi to‘g‘ri, A uchidagi tashqi
burchagi esa 136 ga teng. B burchakni ⁰
toping. 19-masala (4- bet)
C
A B](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_12.png)
![= +
C136⁰ B
ABerilgan:
△ ABC - 90 li
⁰
= 136
⁰
Topish kerak: B =?
Yechish:
= + (tashqi )
B = 136 - 90 = 46
⁰ ⁰ ⁰
?
Javob: 46
⁰](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_13.png)
![To‘g‘ri burchakli teng yonli uchbur-
chakning peremetri 24cm, gipotenuza-
ning uzunligi 6 cm ortiq bo‘lsa,gipote-
nuza uzunligini toping? Masala](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_14.png)
![Yechim:
a
a a+6 P=2a+c
Yechish:
24= 2a+a+6
3a = 24-6
3a = 18
a=18:3
a=6 (cm)
c=6+6=12 (cm)Berilgan:
△ ABC - 90 li,⁰
teng yonli.
P = 24 cm
a=b -? cm
c = a+6 -? cm
Javob: 6 cm va 12 cm](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_15.png)
![Mustaqil bajarish uchun topshiriqlar
Darslikning 4- sahifasidagi
13,- 16,- 18- masalalarni
yechish.](/data/documents/9ed8a333-6d81-4a1f-809b-4fd1dff8b445/page_16.png)
Geometriya Uchburchaklar xossalariga doir masalalar yechish. Mavzu:
T e n g t o m o n l i To‘g‘ri burchakli O ‘ t k i r b u r c h a k l iUchburchaklar T e n g y o n l i O ‘ t m a s b u r c h a k l i Turli tomonli
= + Ichki burchak xossasi Tashqi burchak xossasi Teng tomonli∆ xossasi
c = 2a (30°) 90° li∆ O‘tmas burchakli∆ O‘tkir burchakli∆
a = b , = 90° li∆ Teng yonli∆ Teng tomonli∆