A state of $490,000 is left to three siblings the eldest receives three times as much as the youngest the middle sibling receives $15,000 more than the youngest how much did each receive

Step-by-step explanation:

Given

State worth is

Assume the youngest receives x

So, Eldest receives three times of youngest=3x

Middle receives more than the youngest=x+15000

Sum of their shares

Eldest receives $2,85,000

Middle receives $1,10,000

Youngest receives $90,000

geometry: triangles

solvers

lessons

answers archive

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

it would rotate about 180 degrees.