Question

Determine o valor de x nos triângulos retângulos:

Answer 1

Explicação passo-a-passo:

a)

$\sf h^2=m\cdot n$

$\sf x^2=9\cdot16$

$\sf x^2=144$

$\sf x=\sqrt{144}$

$\sf \red{x=12}$

b)

$\sf b^2=a\cdot m$

$\sf 3^2=5\cdot x$

$\sf 9=5x$

$\sf x=\dfrac{9}{5}$

$\sf \red{x=1,8}$

c)

$\sf c^2=a\cdot n$

$\sf 4^2=5\cdot x$

$\sf 16=5x$

$\sf x=\dfrac{16}{5}$

$\sf \red{x=3,2}$

d)

$\sf a\cdot h=b\cdot c$

$\sf 25\cdot12=20\cdot x$

$\sf 300=20x$

$\sf x=\dfrac{300}{20}$

$\sf \red{x=15}$

2)

=> Valor de h

$\sf a\cdot h=b\cdot c$

$\sf 10\cdot h=6\cdot 8$

$\sf 10h=48$

$\sf h=\dfrac{48}{10}$

$\sf \red{h=4,8}$

=> Valor de m

$\sf b^2=a\cdot m$

$\sf 6^2=10\cdot m$

$\sf 36=10m$

$\sf m=\dfrac{36}{10}$

$\sf \red{m=3,6}$

=> Valor de n

$\sf c^2=a\cdot n$

$\sf 8^2=10\cdot n$

$\sf 64=10n$

$\sf n=\dfrac{64}{10}$

$\sf \red{n=6,4}$