Find the missing side lengths (70 points! )

The sides are as follows:

Step-by-step explanation:

Starting with the side y, we can use the tan to solve for y:

The side x can be determined using sin:

So, the sides as as follows:

(you can also verify this result is correct using the Pythagorean theorem)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl