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In triangle RTS △RTS shown below, point U is on
ST, and point V is on RT so that angle RST UVT∠RST≅∠UVT. If ST=13 VT=5, and RV=13.2, find the length of TU. Figures are not necessarily drawn to scale.

In triangle RTS RTS shown below point U is on ST and point V is on RT so that angle RST UVTRSTUVT If ST13 VT5 and RV132 find the length of TU Figures are not ne class=

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Medunno13

Answer: 7

Step-by-step explanation:

As [tex]\angle T \cong \angle T[/tex] by the reflexive property, we know that [tex]\triangle RST \sim \triangle UVT[/tex] by AA.

Since corresponding sides of similar triangles are proportional,

[tex]\frac{UT}{5}=\frac{13.2+5}{13}\\UT=(5)\left(\frac{13.2+5}{13} \right)=\boxed{7}[/tex]

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