What is the value of x? enter your answer, as a decimal, in the box. ? cm

The value is 50.6cm

Step-by-step explanation:

In order to find this , set up a proportion. Use the smaller part of the triangle on top, and the corresponding part of the larger on bottom.

32.2/46.2 = x/72.6

Now cross multiply to solve

72.6*32.2 = 46.2*x

2337.72 = 46.2x

50.6 = x

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584