Question

Rounding the problem to the nearest tenth if necessary and find the missing length?

Answer 1

Step 1:

$\text{Triangle PQR is similar to triangle GHP}$

Step 2:

Write the corresponding sides of the similar triangle

$\begin{gathered} \\ PQ\text{ }\cong\text{ PG} \\ RP\text{ }\cong\text{ PH} \\ \frac{PQ}{PG}\text{ = }\frac{RP}{PH} \\ \\ \frac{PQ}{91}=\frac{72}{56}\text{ } \end{gathered}$

Next

Cross multiply

$\begin{gathered} 56PQ\text{ = 72 }\times\text{ 91} \\ PQ\text{ = }\frac{6552}{56} \\ PQ\text{ = 117} \end{gathered}$

Final answer

PQ ? = 117