найдите длину отрезка АБ, если:1) А(-3; 8), Б(5; 2) 2)А(8; -1), Б(-7; 7) 3)А(5; 0) Б(0; -12)срочно помогите . Created by subxina. geometriya-ru

Ответ:Объяснение:

найдите длину отрезка АБ, если:1) А(-3; 8), Б(5; 2) 2)А(8; -1), Б(-7; 7) 3)А(5; ...

subxina @subxina

August 2021 1 12 Report

найдите длину отрезка АБ, если:
1) А(-3; 8), Б(5; 2)
2)А(8; -1), Б(-7; 7)
3)А(5; 0) Б(0; -12)
срочно помогите

Answers & Comments

MatemaT123

Ответ:

$10; \quad 17; \quad 13;$

Объяснение:

$1) |\overrightarrow {AB}|=\sqrt{(5-(-3))^{2}+(2-8)^{2}}=\sqrt{(5+3)^{2}+(-6)^{2}}=\sqrt{8^{2}+6^{2}}=\sqrt{64+36}=$

$=\sqrt{100}=10;$

$2) |\overrightarrow {AB}|=\sqrt{(-7-8)^{2}+(7-(-1))^{2}}=\sqrt{(-15)^{2}+8^{2}}=\sqrt{225+64}=$

$=\sqrt{289}=17;$

$3) |\overrightarrow {AB}|=\sqrt{(0-5)^{2}+(-12-0)^{2}}=\sqrt{(-5)^{2}+(-12)^{2}}=\sqrt{25+144}=\sqrt{169}=$

$=13;$

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