Question

May I please get help with this. I tried many times to figure out the correct answer for this problem but I still can’t get it right

Answer 1

In ΔFGH, line FG ║line IJ

And the following dimensions are given

`\begin{gathered} \text{IF}=15 \\ HI=12 \\ JG=20 \\ HJ\text{ is unknown} \end{gathered}`

To find HJ, usingthe formula for the ratio of similar triangles, i.e

`(HI)/(IF)=(HJ)/(JG)`

Substitute the values into the formula above

`(12)/(15)=(HJ)/(20)`

Crossmultiply and solve for HJ

`\begin{gathered} 12*20=HJ*15 \\ \text{Divide both sides by 15} \\ HJ=(12*20)/(15) \\ HJ=16\text{ units} \end{gathered}`

Hence, HJ is 16 units.