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:

$\frac{DE}{HI}=\frac{DF}{HJ}$$\begin{gathered} \frac{45}{36}=\frac{30}{HJ} \\ \\ HJ=30*\frac{36}{45} \\ \\ HJ=24 \end{gathered}$

The answer is:

HJ = 24