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

Question

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

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Katherine 2 months 2021-08-01T10:22:17+00:00 1 Answers 0 views 0

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    2021-08-01T10:23:29+00:00

    Answer:

    \huge\boxed{v=3\sqrt{35}}

    Step-by-step explanation:

    Use the Pythagorean theorem:

    t^2+v^2=u^2

    We have

    t=19,\ u=26

    substitute:

    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}

    Used

    \sqrt{ab}=\sqrt{a}\cdot\sqrt{b},\ a\geq0\ \wedge\ b\geq0

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