If RT=36, find the value of x

4

Step-by-step explanation:

So we know that RT is 36.

Note that RT is the combined length of RS and ST. Therefore:

Substitute. RT is 36, RS is 6x+1 and ST is x+7:

Combine like terms and add:

Subtract 8 from both sides:

Divide by 7:

So, our answer is 4 :)

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+

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