Examine the diagram at right. the smaller triangle (inside of the larger triangle) is similar to larger triangle. how can you solve for x? now , determine the lengths of m and p . note that when no units are given on measurements , you may assume that all units are the same .

As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.

In order to solve for x we can set up the proportion between the horizontal and vertical sides:

Solving this proportion for x implies

Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

Then, we know that the hypothenuse of the big triangle is m+p, so we have

which implies

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step-by-step explanation:

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