Respuesta :

Answer:

[tex]A = \sqrt{89}[/tex]

[tex]B = \sqrt{145}[/tex]

Step-by-step explanation:

[tex]1)\ 8^2 + 5^2 = A^2[/tex]

[tex]2)\ A^2 = 64 + 25[/tex]

[tex]3)\ A^2 = 89[/tex]

[tex]4)\ A = \sqrt{89}[/tex]

[tex]1)\ B^2 + 12^2 = 17^2[/tex]

[tex]2)\ B^2 + 144 = 289[/tex]

[tex]3)\ B^2 = 145[/tex]

[tex]B = \sqrt{145}[/tex]

Answer:

a = 9.4

b = 12.0

Step-by-step explanation: For both of these problems, you need to use the Pythagorean Theorum since they are both right triangles, which is represented by the equation a^2+b^2=c^2. In this equation, "c" represents the hypotenuse of the triangle while both "a" and "b" represent the two other sides. In the first triangle, solve the equation 8^2+5^2=c^2 andf in the second triangle, solve the equation 12^2+b^2=17^2 since the hypotenuse is already given.