Question

Em cada caso, determine a medida x. b) a) х Х 2. 2. 3 4​

Answer 1

Explicação passo-a-passo:

Teorema do Pitágoras:

a) x² = 2²+3²

x² = 4+9=13

x = √13✓✓✓

b) 4² = x²+2²

x² = 4²-2²=(4-2)(4+2)

x = √2•6=2√3

x = 2√3✓✓✓

Answer 2

a)

$h {}^{2} = c {}^{2} + c {}^{2}$

$x {}^{2} = 2 {}^{2} + 3 {}^{2}$

$x {}^{2} = 4 + 9$

$x {}^{2} = 13$

$x = \sqrt{13}$

$\boxed{x≈3,60}$

b)

$h {}^{2} = c {}^{2} + c {}^{2}$

$4 {}^{2} = 2 {}^{2} + x {}^{2}$

$16 = 4 + x {}^{2}$

$- x {}^{2} = 4 - 16$

$- x {}^{2} = - 12 \: \: \: . \: ( - 1)$

$x {}^{2} = 12$

$x = \sqrt{12}$

$x = \sqrt{2 {}^{2} \: . \: 3}$

$x = \sqrt{2 {}^{2} } \sqrt{3}$

$x = 2 \sqrt{3}$

$\boxed{x≈3,46}$

Att. NLE Top Shotta