Pifagor teoremasi va uning turli isbotlari — 8-sinf Geometriya test savollari

1.rABC uchburchakda ÐB=90°, AB=5 sm, $BC$=3 sm. AC gipotenuzani toping.

• A)√34 sm
• B)√8 sm
• C)4 sm
• D)34 sm

2.Katetlari a=4√2 va b=7 bo'lgan to'g'ri burchakli uchburchakning gipotenuzasini toping.

• A)9
• B)81
• C)√11
• D)13

3.Katetlari a=0,7 va b=2,4 bo'lgan to'g'ri burchakli uchburchakning gipotenuzasini toping.

• A)2,5
• B)3,1
• C)6,25
• D)1,7

4.Pifagor teoremasining yuzalar orqali isbotida ikkita katta (tomoni a+b bo'lgan) kvadrat tengdosh bo'lib, ularning yuzlari qanday tenglik bilan ifodalanadi?

• A)4S + c² = 4S + a² + b²
• B)2S + c² = 2S + a² + b²
• C)S + c² = S + a² + b²
• D)4S + c = 4S + a + b

5.ABC uchburchakda ÐC=90°, AC=15 sm, $BC$=8 sm. AB ni toping.

• A)17 sm
• B)23 sm
• C)13 sm
• D)7 sm

6.rACD to'g'ri burchakli uchburchakda ÐCAD=90°, AC=√34 sm, CD=7 sm. AD kesmani toping.

• A)√15
• B)√83
• C)8
• D)15

7.Pifagor teoremasiga ko'ra, to'g'ri burchakli uchburchak gipotenuzasining kvadrati nimaga teng?

• A)katetlar kvadratlari yig'indisiga
• B)katetlar ko'paytmasiga
• C)katetlar ayirmasi kvadratiga
• D)katetlar yig'indisi kvadratiga

8.ABC uchburchakda ÐC=90°, AC=6 sm, $BC$=8 sm. AB gipotenuzani toping.

• A)10 sm
• B)14 sm
• C)2 sm
• D)48 sm

9.Katetlari $a=\frac{5}{13}$ va $b=\frac{12}{13}$ bo'lgan to'g'ri burchakli uchburchakning gipotenuzasini toping.

• A)1
• B)$\frac{17}{13}$
• C)$\frac{12}{13}$
• D)$\frac{5}{13}$

10.Pifagor teoremasidan c²=a²+b² tenglikdan katetni topish formulasi qanday bo'ladi?

• A)a = √(c² - b²)
• B)a = √(c² + b²)
• C)a = c² - b²
• D)a = √c - √b