3<x≤7 ∩ 5≤x≤9
---o*-->x **>x
3 7 5 9
x∈(3; 7] ∩ x∈[5; 9]
o***>x
3 5 7 9
(3; 7] ∩ [5; 9] = [5; 7]
3<x≤7 U 5≤x≤9
---o*-->x **>x
3 7 5 9
x∈(3; 7] ∪ x∈[5; 9]
o***>x
3 5 7 9
(3; 7] ∪ [5; 9] = (3; 9]
3<x≤7 ∩ 5≤x≤9
---o*-->x **>x
3 7 5 9
x∈(3; 7] ∩ x∈[5; 9]
o***>x
3 5 7 9
(3; 7] ∩ [5; 9] = [5; 7]
3<x≤7 U 5≤x≤9
---o*-->x **>x
3 7 5 9
x∈(3; 7] ∪ x∈[5; 9]
o***>x
3 5 7 9
(3; 7] ∪ [5; 9] = (3; 9]
Из двух наклонных, проведенных из одной точки, большая проекция будет у большей наклонной.
CH = x
BH = x + 9
По теореме Пифагора:
AH² = 289 - (x + 9)²
AH² = 100 - x²
289 - (x + 9)² = 100 - x²
289 - x² - 18x - 81 - 100 + x² = 0
18x = 108
x = 6
CH = 6
BH = 6+ 9 = 15
AH = √(289 - 225) = √64 = 8