Jenny left home and drove for 2 hours. She stopped at a rest stop and then drove for 3 more hours at a rate that is 10 mph faster than the rate before she stopped.
She traveled for a total of 230 miles. What was her speed before the rest stop and
after the rest stop? D=RT

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

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step-by-step explanation:

the answer is 40.

proof: