Recall that if two triangles are similar, the lengths of corresponding altitudes are proportional to the lengths of corresponding sides.
x=5
Practice makes perfect
Let's begin with recalling one of the Special Segments of Similar Triangles Theorems.
If two triangles are similar, the lengths of corresponding altitudes are proportional to the lengths of corresponding sides.
Now, let's look at the given diagram.
Since we are given that AB and JK are altitudes of these triangles, we can create a proportion using the fact that the lengths of corresponding altitudes are proportional to the lengths of corresponding sides.
9/21=4x-8/5x+3
Now, we will solve the proportion for x using cross multiplication.
