Answer:
x = 24/5 mm
y = 10/3 mm
Explanation:
You want the lengths of the sides marked x and y in the similar triangle figure shown.
Corresponding sides
Working clockwise from the common vertex, the side lengths have the ratios ...
larger triangle: 5 : 8 : y
smaller triangle: 3 : x : 2
Corresponding sides are proportional, so ...
x/8 = 3/5
x = 24/5 . . . . . . multiply by 8
and ...
y/2 = 5/3
y = 10/3 . . . . . . multiply by 2
The values of x and y are 24/5 mm and 10/3 mm, respectively.
__
Additional comment
We like to write the proportions with the variable in the numerator. That way the solution is found by multiplying its equation by the denominator of the variable fraction (one step).
<95141404393>