Question

#11 - In the diagram of triangle PST, QR is parallel to ST with PQ = 10 and

Answer 1

Answer:

The length of RT is 3.6 units.

Step-by-step explanation:

In the image attached, you can observe a representation of the problem.

Notice that we have two parallel lines with two transversal. That means we can use the proportionality theorem to create the following expression

$\frac{PQ}{QS} =\frac{PR}{RT}$

Where $PQ=10$, $QS=4$ and $PR=9$.

Replacing all values, and solving for the unknown quantity, we have

$\frac{10}{4}=\frac{9}{x} \\10x=36\\x=\frac{36}{10}\\ x=3.6$

$\therefore RT=3.6$

Therefore, the length of RT is 3.6 units.