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$In /_\PRT,m∡P=90^(@), altitude bar(PQ) is drawn to hypotenuse bar(RT),RT=17, and PR=15. Determine, to the nearest tenth, the length of bar(RQ)*[0-7 points ]$

In $\newline$ $\triangle PRT$ , $m\angle P = 90^\circ$ , altitude $\newline$ $\overline{PQ}$ is drawn to hypotenuse $\newline$ $\overline{RT}$ , $RT = 17$ , and $\newline$ $PR = 15$ . Determine, to the nearest tenth, the length of $\newline$ $\overline{RQ}$ *[ $0$ $-7$ points $\newline$ ]

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. In

\newline

\triangle PRT

,

m\angle P = 90^\circ

, altitude

\newline

\overline{PQ}

is drawn to hypotenuse

\newline

\overline{RT}

,

RT = 17

, and

\newline

PR = 15

. Determine, to the nearest tenth, the length of

\newline

\overline{RQ}

*[

0

-7

points

\newline

]

Identify triangle: Identify the right triangle and use the Pythagorean theorem to find the length of $\overline{RQ}$ . Since $m\angle P=90^\circ$ , triangle $PRT$ is a right triangle with $PR$ and $RQ$ as the legs and $RT$ as the hypotenuse.

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