Question

Determine o valor de x em cada triângulo:
Com a conta, por favor!

Answer 1

a) $a^2=b^2+c^2$

$(\sqrt{7})^2+x^2=4^2 \iff 7+x^2=16 \iff x^2=9$

$x=\sqrt{9} \iff \boxed{x=3\texttt{m}}$

b) $h^2=mn$

$x^2=3\cdot12 \iff x^2=36 \iff x=\sqrt{36}$

$\boxed{x=6\texttt{cm}}$

c) $ah=bc$

$7,5x=4,5\cdot 6 \iff 7,5x=27$

$x=\dfrac{27}{7,5} \iff x=3,6\texttt{cm}$

d) $b^2=am$

$8^2=16x \iff 64=16x \iff x=\dfrac{64}{16}$

$\boxed{x=4\texttt{cm}}$

e) $h^2=mn$

$4^2=2x \iff 16=2x \iff x=\dfrac{16}{2}$

$\boxed{x=8\texttt{cm}}$

f) $c^2=an$

$x^2=2,5\cdot10 \iff x^2=25$

$x=\sqrt{25} \iff \boxed{x=5\texttt{cm}}$