Question

3 O valor da medida de X em cm

Answer 1

pitagoras:

$x^2=6^2+ (\frac{x}{2}) ^2 \\ \\ \\ \\ x^2=36+ \frac{x^2}{4} \\ \\ x^2- \frac{x^2}{4} =36 \\ \\ 4x^2-x^2=144 \\ \\ 3x^2=144 \\ \\ x^2= \frac{144}{3} \\ \\ x^2=48 \\ \\ x= \sqrt{48} \\ \\ x=4 \sqrt{3}$

Answer 2

x² = (x/2)² + 6²
x² = x²/4 + 36 --->mmc = 4
4x² = x² + 144
4x² - x² = 144
3x² = 144 
x² = 48 ---> x = √48 ---> x = √(2².2².3)--> x= 4√3

O valor de x = 4√3 cm ou 4 .1,73 = 6,92cm