Question

ДАМ 100 БАЛЛОВ!!!!!!!!!​

Answer 1

Ответ:

7) по теореме Пифагора

$KC^2 + BK^2 = BC^2\\KC^2 = BC^2-BK^2 \\KC^2 = 20^2-12^2 = 400-144 = 256 = 16^2\\KC = 16$

по теореме Пифагора

$AK^2+BK^2 = AB^2\\AK^2 = AB^2-BK^2\\AK^2 = 15^2-12^2 = 225-144 = 81 = 9^2\\AK = 9$

AC = KC-AK = 16-9 = 7см

8) Пусть СВ - 24х, тогда

$sinA = \frac{CB}{AB} = \frac{24x}{AB} = \frac{24}{25}\\ AB = 25x$

по теореме Пифагора

$AC^2 + CB^2 = AB^2\\14^2 + 24^2x^{2} = 25^2x^{2} \\196+ 576x^{2} = 625x^{2} \\196 = 49x^{2} \\x^{2} = 4\\x = 2\\CB = 2*24 = 48\\AB = 2 * 25 = 50\\P = CB+AB+AC = 14+48+50 = 112$