please answer correctlyyy

8.246 units long

2sqrt(17) units long in simplest radical form

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing leg length:

a^2+b^2=c^2

4^2+b^2=sqrt(84)^2

16+b^2=84

b^2=68

b=sqrt(68)

b=2sqrt(17) <-- Simplest Radical Form

b=8.246

So the third side is approximately 8.246 units long

0.02040816326

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