Question

Calcule o valor de h

Answer 1

Resposta:

Explicação passo a passo:

a²=6²+8²

a²=36+64

a²=100

a=√100

a=10

ah=bc

10h=6.8

10h=48

h=48/10

h=4,8

Answer 2

Resposta:

h = 3,84

Explicação passo a passo:

a² = 6² + 8²

a² 36 + 64

a² = 100

x = 10

a.H = bc

10H = 6.8

10H = 48

$H=\frac{24}{5}$

$h^2+x^2=(\frac{24}{5})^2\\\\\frac{6}{8} =\frac{h}{8-x} \\\\8h=6(8-x)\\\\4h=3(8-x)\\\\4h=24-3x\\\\3x=24-4h\\\\x=8-\frac{4h}{3}\\\\h^2+(8-\frac{4h}{3})^2=\frac{576}{25} \\\\h^2+64-\frac{64h}{3}+\frac{16h^2}{9} =\frac{576}{25} \\\\225h^2+14400-4800h+400h^2=5184\\\\625h^2-4800h+14400-5184=0\\\\625h^2-4800h+9216=0\\\\\Delta= (-4800)^2-4.625.9216\\\\\Delta=23040000-23040000\\\\\Delta=0\\\\h=\frac{4800}{2.625}\\\\h=\frac{4800}{1250}\\\\h=\frac{480}{125}\\\\h=\frac{96}{25}\\\\h=3,84$