Right triangles [1], [2] and [3] are given with all their angle measures and approximate side lengths. ![](http://admin.getprephub.com/media/editor/ra1_20230123090039819020.png) Use one of the triangles to approximate $$P Q$$ in the triangle below. ![](http://admin.getprephub.com/media/editor/ra1s_20230123090052359713.png)

Triangle PQR is similar to triangle [3](by A-A property) We can use the proportion ![](http://admin.getprephub.com/media/editor/ra1s2_20230123090223141917.png) ![](http://admin.getprephub.com/media/editor/ra1s1_20230123090112976625.png) Therefore, $$\frac{P Q}{7.7}=\frac{7}{10}$$ or, $$10 P Q=7.7 \times 7$$ or, $$ P Q=\frac{7.7 \times 7}{10}=5.39 \approx 5.4$$ Therefore, $$P Q=5.4$$ unit

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Right triangles [1], [2] and [3] are given with all their angle measures and approximate side lengths.

Use one of the triangles to approximate $P Q$ in the triangle below.

Select all that apply :

$5.4$

$9.1$

$10.3$

$4.5$

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