Question

No triangulo ABC abaixo a hipotenusa mede
15 cm e o cateto b mede 10 com Calcular e o valor
de c, h, , m e n​

Answer 1

${b}^{2} = 15n \\ {10}^{2} = 15n \\ n = \frac{100}{15} = \frac{20}{3}$

$m + n = 15 \\ m = 15 - n \\ m = 15 - \frac{20}{3} \\ m = \frac{45 - 20}{3} = \frac{25}{3}$

${h}^{2} = m.n \\ h = \sqrt{ \frac{25.20}{3.3} } \\ h = \frac{10 \sqrt{5} }{3}$

$15h = b.c \\ 15. \frac{10 \sqrt{5} }{3} = 10.c \\ c = 5 \sqrt{5}$