Respuesta :

64; Line pq is correspondent with line ab and triangle PQR is 4 time as big as triangle ABC.
JeanaShupp

Answer: The length of PQ = 64

Step-by-step explanation:

We are given that ΔPQR and ΔABC are similar right triangles .

Since, we know that the corresponding sides of similar triangles are proportional.

Therefore, we get

[tex]\dfrac{PQ}{AB}=\dfrac{QR}{BC}\\\\\Rightarrow\dfrac{PQ}{16}=\dfrac{80}{20}\\\\\Rightarrow\ PQ=4\times16\\\\\Rightarrow\ PQ=64[/tex]

Hence, the length of side PQ = 64 units

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