Corresponding sides of similar triangles are proportional.
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Practice makes perfect
We are told that the triangles are similar, and we want to find the value of x.
Let's identify the two pairs of corresponding sides.
The sides of lengths 84 and 84 - x are corresponding.
The sides of lengths 30+ 15= 45 and 30 are corresponding.
Also, let's separate these triangles so that it is easier to visualize what we have described above.
Since the two triangles are similar, their corresponding sides are proportional.
84/45=84-x/30
We can solve the above proportion to find the value of x. To do so, we will use the Cross Product Property.
