Question

Calcule o valor das incógnitas da figura abaixo (Teorema de pitágoras).

Answer 1

c² + (10√2)² = 15²
c² = 225 - 200
c = √25
c = 5
15m = 5²
m = 25/15 = 5/3
n = 15 - 5/3 = 45/3 - 5/3 = 40/3
mn = h²
40/3 * 5/3 = h²
√(200/9) = h 

Answer 2

$(10 \sqrt{2}) ^{2} + 15^{2} = c^{2} \\ \\ 200 + 225 = c^{2} \\ \\ c^{2} = 425 \\ \\ c = \sqrt{425}$
Logo: 
$h= \sqrt{ \frac{200}{9} }$