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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

The following two right triangles are similarIf side DE 45 side HI 36 and side DF 30 what is the length of side HJTwo trianglesA21B24C20D19 class=

Respuesta :

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:

[tex]\frac{DE}{HI}=\frac{DF}{HJ}[/tex][tex]\begin{gathered} \frac{45}{36}=\frac{30}{HJ} \\ \\ HJ=30*\frac{36}{45} \\ \\ HJ=24 \end{gathered}[/tex]

The answer is:

HJ = 24

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