SOLUTION:
Step 1:
In this question, we are given the following:
The following two right triangles are similar.If side DE = 45, side HI = 36, and side DF = 30, what is the length of side HJ?
Step 2:
The details of the solution are as follows:
Since side DE = 45, side HI = 36, and side DF = 30.
Then, the length of side HJ =
[tex]\begin{gathered} Using\text{ Similar triangles, we have that:} \\ \frac{DF}{DE}=\frac{HJ}{HI} \\ Then,\text{ we have that:} \\ \frac{30}{45}=\frac{HJ}{36} \\ cross-multiply,\text{ we have that:} \\ 30\text{ x 36 = 45 x HJ} \\ Divide\text{ both sides by 45, we have that:} \end{gathered}[/tex][tex]HJ=\frac{30\text{ x 36}}{45}[/tex]
[tex]HJ\text{ = }\frac{1080}{45}[/tex][tex]HJ\text{ = 24 \lparen OPTION B \rparen}[/tex]
