Question

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?Two trianglesA)21B)24C)20D)19

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

triangles diagram

Step 02:

similar triangles:

side HJ:

`(DE)/(HI)=(DF)/(HJ)`
`\begin{gathered} (45)/(36)=(30)/(HJ) \\ \\ HJ=30*(36)/(45) \\ \\ HJ=24 \end{gathered}`

The answer is:

HJ = 24