Respuesta :
The therorem is:
[tex]a^{2} + b^{2} = c^{2} [/tex]
or, solving for b:
[tex] b = \sqrt{c^{2}-a^{2}}[/tex]
[tex] b = \sqrt{20^{2}-15^{2}}[/tex]
[tex] b = \sqrt{400-225}[/tex]
[tex] b = \sqrt{175}[/tex]
[tex] b \approx 13.23[/tex]
[tex]a^{2} + b^{2} = c^{2} [/tex]
or, solving for b:
[tex] b = \sqrt{c^{2}-a^{2}}[/tex]
[tex] b = \sqrt{20^{2}-15^{2}}[/tex]
[tex] b = \sqrt{400-225}[/tex]
[tex] b = \sqrt{175}[/tex]
[tex] b \approx 13.23[/tex]
so if you have a right triangle with legs legnth a and b
and a hypotonuse legnth c, then
a^2+b^2=c^2
given in the comments is that
a=15
c=20
input and solve
15^2+b^2=20^2
225+b^2=400
subtract 225 from boths ides
b^2=175
take square root of both sides
b=5√7