Leg t=19 and hypotenuse u=26 what will leg v equal if this is a right triangle?

Answer:

[tex]\huge\boxed{v=3\sqrt{35}}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]t^2+v^2=u^2[/tex]

We have

[tex]t=19,\ u=26[/tex]

substitute:

[tex]26^2=19^2+v^2\\\\676=361+v^2\qquad|\text{subtract 361 from both sides}\\\\315=v^2\to v=\sqrt{315}\\\\v=\sqrt{9\cdot35}\\\\v=\sqrt{9}\cdot\sqrt{35}\\\\v=3\sqrt{35}[/tex]

Used

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b},\ a\geq0\ \wedge\ b\geq0[/tex]