Question

Nos triângulo retângulo mostrado, determine o valor de x, y, z e t

Answer 1

x= 15 cm
y= 5,4 cm
t= 7,2 cm
z= 9,6 cm

Answer 2

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$\boxed{\begin{array}{l}\sf x^2=9^2+12^2\\\sf x^2=81+144\\\sf x^2=225\\\sf x=\sqrt{225}\\\sf x=15~cm\\\sf 12^2= x\cdot z\\\sf 144=15z\\\sf z=\dfrac{144\div3}{15\div3}\\\sf z=\dfrac{48}{5}\\\sf x\cdot t=9\cdot12\\\sf 15t=9\cdot12\\\sf t=\dfrac{9\cdot\diagdown\!\!\!\!\!\!12^4}{\diagdown\!\!\!\!\!\!15_5}\\\sf t=\dfrac{36}{5} \\\sf z+y=x\\\sf\dfrac{48}{5}+y=15\cdot5\\\sf 48+5y=75\\\sf 5y=75-48\\\sf 5y=27\\\sf y=\dfrac{27}{5}\end{array}}$