Question

Triangle HIJ is similar to triangle K Find the measure of side MK Round your answer to the nearest tenth. Figures are not drawn to scale.

Answer 1

we must identify the equivalent sides between the triangles

$\begin{gathered} IJ\longrightarrow LM \\ JH\longrightarrow MK \\ HI\longrightarrow KL \end{gathered}$

now we can make a relation to use cross multiplication

if IJ is equivalent to LM so 7 is equivalent to 33

if 7 is equivalent to 33 What is 11 equivalent to?

$\begin{gathered} 7\longrightarrow33 \\ 11\longrightarrow x \end{gathered}$

where x is MK

now solve x

$\begin{gathered} x=\frac{11\times33}{7} \\ x=51.85714 \end{gathered}$

the rounded value of x or MK is 51.9