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ulia26d
@ulia26d
July 2022
1
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Длина стороны правильного треугольника равна 17√3. Найдите радиус R окружности, описанной около треугольника
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Verified answer
АВ
²
= R
²
+ R
²
- 2·R·R·cos120°
АВ
²
= 2R
²
- 2R
²
·(-0,5)
АВ
²
= 2R
²
+ R
²
АВ
²
= 3R
²
АВ = R√3
17√3
= R√
3
R = 17.
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Answers & Comments
Verified answer
АВ² = R² + R² - 2·R·R·cos120°АВ² = 2R² - 2R²·(-0,5)
АВ² = 2R² + R²
АВ² = 3R²
АВ = R√3
17√3 = R√3
R = 17.