Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{a^2 = b^2 + c^2}[/tex]
[tex]\mathsf{17^2 = 15^2 + x^2}[/tex]
[tex]\mathsf{289 = 225 + x^2}[/tex]
[tex]\mathsf{x^2 = 289 - 225}[/tex]
[tex]\mathsf{x^2 = 64}[/tex]
[tex]\mathsf{x = \sqrt{8^2}}[/tex]
[tex]\boxed{\boxed{\mathsf{x = 8}}}[/tex]
[tex]\mathsf{c^2 = a.n}[/tex]
[tex]\mathsf{x^2 = 17.t}[/tex]
[tex]\mathsf{64 = 17.t}[/tex]
[tex]\boxed{\boxed{\mathsf{t = \dfrac{64}{17}}}}[/tex]
[tex]\mathsf{b^2 = a.m}[/tex]
[tex]\mathsf{225 = 17.z}[/tex]
[tex]\boxed{\boxed{\mathsf{z = \dfrac{225}{17}}}}[/tex]
[tex]\mathsf{h^2 = m.n}[/tex]
[tex]\mathsf{y^2 = t.z}[/tex]
[tex]\mathsf{y^2 = \dfrac{64}{17}.\dfrac{225}{17}}[/tex]
[tex]\mathsf{y^2 = \dfrac{14.400}{289}}[/tex]
[tex]\mathsf{y = \dfrac{\sqrt{14.400}}{\sqrt{289}}}[/tex]
[tex]\boxed{\boxed{\mathsf{y = \dfrac{120}{17}}}}[/tex]