Question 866175
Both are the 30-60-90 type, so they are similar.


Comparing base to base and height to height
{{{24/9=16/h}}}, IF you wanted to know the  height of the "another triangle".  You are looking for the scale factor in going from the first ratio to the "another" ratio, so focus attention just on the 24 and the 16.


What is the factor k so that {{{24*k=16}}}?
Solve for k.
{{{k=16/24}}}
{{{k=4/6}}}
{{{highlight(k=2/3)}}}